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# Probability

### Important information about Probability and Distributions

- What is the gender distribution (% females and % males)? - What is the "tenure with company" distribution by gender? - What % of the survey participants are in each department? - What is the mean overall satisfaction by gender? - If we choose a person at random from this database: o What is the probability that this

### Probability - The Journal News

In the July 29, 2001 issue of The Journal News (Hamilton Ohio) Lynn Elber of the Associated Press reported on a study conducted by the Kaiser Family Foundation regarding parents' use of television set V-chips for controlling their children's' TV viewing. The study asked parents who own TV's equipped with V-chips whether they us

### Poisson and exponential distributions

Please see attached file for full problem description. The maintenance department of a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution with a mean of two breakdowns every 500hours. Let x denote the time (in hours) between successive breakdowns. a. Find lambda and mu(x)

### Probability problems explained in this answer

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. A manufacturer of CDs has just manufactured 4000 CDs, and 4% are defective. If 10 of these CDs are randomly selected for testing, what is

### Expected number of sightings

3. The number of UFO (Unidentified Flying Object) sightings per week in Roswell, NM is a random variable with the cumulative distribution function given below. x 0 1 2 3 4 5 F(x) .10 .30 .60 .80 .90 1.0 a. Find the probability that there are two or more sightings in a particular week. b. Find the expected number of sightings

### The U.S. Bureau of Labor Statistics collected data on the occupations of workers

Please show all work with answers. Only 2 questions I need step by step solution showing the formulas used and intermediate steps, etc. U.S. Bureau of Labor Statistics The U.S. Bureau of Labor Statistics collected data on the occupations of workers 25 to 64 years old. The following table shows the number of male and fema

### Probability of working employees

1. Store A, B, and C have 50, 75, and 100 employees, respectively. At store A 50% of the employees are women, at store B 60 % of the employees are women, and at store C 70% of the employees are women. Resignations are equally likely for all employees, regardless of gender. One employee resigns, and this employee is a woman. What

### Determining Probability: Alaska Airport Example

Here is another probability question I am having difficulty with. I have included the data. I think I am on the right track with the first part but not sure with the rest. - What Percentage of all Alaska Airline flights were delayed? That is use the data to estimate the probability that an Alaska Airline flight will be dela

### Probability and Weibull Distribution

Assume the life of a rotating item follows a Weibull distribution with the shape parameter (or slope) = 2 and the scale parameter = 10,000 hours. a. Determine the probability that the rotating item lasts at least 8000 hours. b. Determine the mean time until failure of the item. c. If 10 rotating items are used in a larger com

### Statistics - Probability and Random Selection

I am having difficulty with this question for my stats class. I have included the table for the data set. Using the table, I am to estimate the probability that a randomly selected 21-49 year old consumer would: - Give the phrase a rating 4 or 5 given that the consumer is male and a situation in which the consumer is femal

### Explaining Probability Recurring Events

The mean time between reoccurring events is exponentially distributed with a mean time between events of 15 minutes. a. What is the probability that there are no events within a 30-minute period? Answer 0.00043 ? b. What is the probability that at least one call arrives within a 10-minute interval? Answer 0.4866 ? c. Wha

### Probability and Statistical Analysis of Products

1. At a factory, the fill volume of Coke cans is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce. a. What is the probability a fill volume is less than 12 fluid ounces? b. If all Coke cans less than 12.1 or greater that 12.6 ounces must be destroyed, what proportion of Coke

### Statistics and Probability Determination

1. For each part, decide whether the blank should be filled in with =, <, or >, and give a short but clear explanation. a. (probability that the total after rolling 2 fair dice is 9) ___ (probability that the total after rolling 2 fair dice is 10) b. (number of ways to split 10 basketball players into 2 teams of 5) ___ (10 5

### Question about Probability for normal distribution

1. Find the probability that a standard normal random variable will assume a value between: a. z = 1.5 and z = .75 b. Greater than 1.25 c. Find a z such that 70% of the area is above that value. 2. In recent years, the use of the telephone as a data collection instrument for opinion polls has been steadily incr

### Statistics Problems solved in this posting are based on Poisson Distribution and Normal Distribution. For Specific Problems, please see the posted problems.

Use the Poisson Distribution to find the indicated probability. 49) For a certain type of fabric, the average number of defects in each square foot of fabric is 0.3. Find the probability that a randomly selected square foot of the fabric will contain more than one defect. 49) ______ A) 0.0369 B)

### 28) A contractor is considering a sale that promises a profit of \$ 23,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of \$ 13,000 with a probability of 0.3. What is the expected profit? 29) Choosing 3 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. 33) n = 4, x = 3, p = 1/6 34) n = 10, x = 2 , p = 0.5 35) n =12, x = 5, p = 0.25 36) A test consists of 10 true/false questions. To pass the test a student must answer at least 7 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? 37) Find the probability of at least 2 girls in 10 births. Assume that male and female births are equally likely and that the births are independent events. 38) An airline estimates that 98% of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the number of people who show up will exceed the capacity of the plane? Find the mean, &#956;, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. 39) n = 33; p = .2 Find the standard deviation, &#963;, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. 41) n = 36; p = .2 42) n = 2661; p = .63 43) n = 94, p = 0.20 44) n = 377, p = 2/3 45) According to a college survey, 22% of all students work full time. Find the mean for the number of students who work full time in samples of size 16. 46) A company manufactures batteries in batches of 29 and there is a 3% rate of defects. Find the mean number of defects per batch. Determine if the outcome is unusual. 47) A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual to get 481 consumers who recognize the Dull Computer Company name? 48) According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At 5:00 pm on a given Sunday, 2500 such televisions are randomly selected and checked to determine what is being watched. Would it be unusual to find that 872 of the 2500 televisions are tuned to "Eyewitness News"?

Solve the problem. 22) Find the variance for the given probability distribution. 22) ______ A) 2.46 B) 2.69 C) 7.43 D) 2.63 23) Find the standard deviation for the given probability distribution. 23) ______ A) 1.71 B) 1.6

### 21 prob/stats multiple choice questions

Express the indicated degree of likelihood as a probability value. 1) "You have a 50-50 chance of choosing the correct answer." 1) _______ A) 50 B) 0.50 C) 0.9 D) 0.25 2) "It will definitely turn dark tonight." 2) _______ A) 0.67 B)

### Probability of weight distribution of gerbil

The state's smallest animal is a red-tailed gerbil, with a mean weight of 2.5 grams and a standard deviation of 0.25 grams. Assuming that the weights are normally distributed, find the probability of randomly selecting a gerbil that weighs a. between 1.0 and 2.0 grams b. between 1.6 and 2.2 grams c. more than 2.2 grams

### Bayes' Theorem for Probability Revision

Set up a short problem related to your work environment to calculate the probability(ies) of an event happening. Then use Bayes' Theorem to revise the probability. Show all your work.

### probability of defective circuit card in the sample

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a.) If 20 cards are defective, what is the probability that at least 1 defective card is in the sample? b.) If 5 cards are defective,

### probability that the circuit operates

This electrical circuit operates if and only if there is a path of the functional devices from left to right. The probability that each device functions is as shown. Assume that the probability that a device is functional does not depend on whether or not other devices are functional. What is the probability that the circuit

### Discrete & Continuous Probability Distributions

Please use Excel for this and could you send me a few notes with step by step break-down on how to make it easy to figure out next time? 1. An American Society of Investors Survey found that 30% of individuals have used a discount broker. In a random sample of 9 individuals, what is the probability That: a. Exactly 2 of t

### Probability - Super Cola sales break down as 80% regular soda and 20% diet soda.

Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men, only 30% of the diet soda is purchased by men. If a woman purchases Super Cola, what is the probability that it is a diet soda? .28902 .30435 .69565 .71098

### Probability

A researcher wants to simulate sunny and rainy days in her town for a 3-week period. What is the minimum number of digits the student must obtain from a random number table for each observation if it rained on two-fifths of the days over the past several years at this time of the year? Assume that days can be classified historic

### Find probabilities from a data set

Please answer the following probabilities from the data set below using Excel. Also please add them to the chart, Thanks. https://mycampus.aiu-online.com/courses/QMB350/Assignment_Assets/DataSetandDataSetKey_0703A.xls ? What is the gender distribution (% females and % males)? ? What is the "tenure with company" distribut

### Statistics - probability

(1) The average number of humming birds per hour on a particular feeder is 5. Find the probability that exactly 3 humming birds feed during a particular hour using the correct table or formula. (2) Weights for students applying to a Sumo wrestling school are normally distributed, with a mean of 250 pounds and a standard dev

### Probability - Statistics Binomial Questions

(1) The probability that a house in an urban area will be burglarized is 5%. If 15 houses are randomly selected what is the probability that: (A) Exactly 2 of the houses will be burglarized. (B) Two or fewer houses will be burglarized. (2) The mean monthly gasoline purchase for a family with 2 cars is 62 gallons. This st

### This posting provides solution to statistics MCQs focusing on probability, binomial probability distribution, normal probability concepts, etc

Please show all work and examples 1. Under certain conditions, it is possible that the sum of the probabilities of all the sample points in a sample space is less than one. ___ T/F 2. A compound event formed by use of the word and requires the use of the addition rule. ____ T/F 3. In any binomial probability

### Problems involving normal distribution, poisson distribution, finding expected value of mean and standard deviation, and finding probability values under normal distributions.

Please show ALL work! 1. Find the following probabilities: a.Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.4 and P(A or B) = 0.9, find P(B). b.Events A and B are defined on a common sample space. If P(A) = 0.20, P(B) = 0.40, and P(A or B) = 0.56, find P(A and B) 2.Class