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Continuous distribution

1. Let the random variable X have the p.d.f. f(x)=2(1-x) for 0<x<1 and zero elsewhere. a. Sketch the graph b. Determine and sketch the graph of the distribution function of X c. find P(X) for the following intervals: i. [0,1/2] ii. [1/4,3/4] iii. X=3/4 iv. X>3/4 2. For each of the following functi

Describe correlational research

Share the practical applications of the study from the Unit 2 Individual Project. How would the results of this survey be used in the workplace? Briefly describe correlational research. Name a variable from this study and one from the workplace that might prove to provide a correlational relationship and explain why you would

Statistical Analysis of Damaged Components

Please provide detailed answers and easy to understand explanations for questions below. I have low level background in stats. Any internet references would be helpful for my understanding. A box contains 10 components of which 4 are damaged. You select 3 components from the box, one at a time without replacement (that is,

Probability Questions

1. Who was the inventor of the correlation? a. Sigmund Freud b. Charles Darwin c. Francis Galton d. Jacob Cohen 2. Who was the founder of psychoanalysis? a. Sigmund Freud b. Charles Darwin c. Francis Galton d. Jacob Cohen 3. Which of the following is the easier way to describe data? a. Average b. Correlation c.

Poisson Distribution

A baseball team loses $10,000 for each consecutive day it rains, Say X, the number of consecutive days it rains at the beginning of the season, has a Poisson distribution with mean 0.2. What is the expected loss before the opening game? An airline always overbooks if possible. A particular plane has 95 seats on a flight in wh

Poisson Distribution

Let X have a Poisson distribution with a mean of 4. Find a) P(2<X<5) b) P(X>3) c) P(X<3) Let X have a Poisson distribution with a variance of 4. Find P(X=2) Customers arrive at a travel agency at a mean rate of 11 per hour. Assuming that the number of arrivals per hour has a Poisson distribution, give the probability th

Basic Probability Problems

Please see the attachment for fully formatted problems. 1- The assistants have .50 probability of going on strike, .40 the pilots and .15 that both go on strike. a) Determine of the probability the pilots go on strikes and if the assistant will also. Indicate the probability and that condition 2- Probabili

Probabilities and Moment Generating Function

2.5-8. Show that 63/512 is the probability that the fifth head is observed on the tenth independent flip of an unbiased coin. 2.5-9. An excellent free-throw shooter attempts several free throws until she misses. a) If p= 0.9 is her probability of making a free throw, what is the probability of having the first miss on the 13th

Binomial distribution questions.

The questions are also found in the attached Word document, with the original formatting. In exercise 15, it supposes that a procedure produces a binomial distribution with a repeated test n times. It uses a-1 table to calculate the probability of x successes, given probability p of success in a given test. 15- n=3, x

Percent Probability

50% probability a customer will walk through the door needing customer service. What percent of the time would you expect less than 4 customers out of twenty will require customer service? What formula would you use to get this solution?

Probability problems

Looking for help on the following 3 questions: Births of Twins The probability that a birth will result in twins is .012. Assuming independence (perhaps not a valid assumption), what are the probabilities that out of 100 births in a hospital, there will be the following numbers of sets of twins? 48. At most 2 sets of twins

Probability Distributions and Expected Value Problems

Please help answer the following problem. An insurance company sells an automobile policy with a deductible of one unit. Let X be the amount of the loss having p.m.f. .9 x=0 f(x) = { (C/x) x=1,2,3,4,5,6 (where C is a constant) Determine C and the expected value the insurance compan

Finding Mean, Variance, PMF & Binomial Distribution: Example

1. A random variable X has a binomial distribution with mean 6 and variance 3.6. Find P(X = 4). 2. A certain type of mint has a label weight of 20.4 grams. Suppose that the probability is 0.90 that a mint weighs more than 20.7 grams. Let X equal the number of mints that weigh more than 20.7 grams in a sample of eight mints se

Binomial dist

In a lab experiment involving inorganic syntheses of molecular precursors to organometallic ceramics, the final step of a five-step reaction involves the formation of a metal-metal bond. The probability of such a bond forming is p = 0.20. Let X equal the number of successful reactions out of n = 25 such experiments. a) Find the

A. What is the probability that a student will finish the examination in two hours or more? b. What is the probability that a student will finish the examination in more than 100 minutes but less than 150 minutes? c. What is the probability that a student will finish the examination in more than 140 minutes?

The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. a. What is the probability that a student will finish the examination in two hours or more? b. What is the probability that a student will finish the examination in mo


Probability f (x) = 1 /240 - 200 = 1/40 Mean -240 +200/ 2 = 220, STD = 240 - 200 = 40 = 11.547 &#8730;12=3.464 3.464 What is the probability of 205 &#8804; X &#8804; 220? What is the probability of x &#8804; 225?

Probability of an elementary event

In a set of 15 aluminum castings, two castings are defective (D), and the remaining thirteen are good (G). A quality control inspector randomly selects three of the fifteen castings without replacement, and classifies each as defective (D) or good (G). Which of the following is NOT an elementary event for this experiment?


Suppose a group of 3 pets is to be selected from a group consisting of 4 dogs and 5 cats. What is the probability that one dog and two cats are selected?


A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labeled A, B, and C. The consumers are classified according to age and package design preference. A B C Total Under 25 years 22 34 4

Probability the machine is non-defective

A machine is made up of 3 components: an upper part, a mid part, and a lower part. The machine is then assembled. 5% of the upper parts are defective; 4% of the mid parts are defective; 1% of the lower parts are defective. What is the probability that a machine is non-defective?

Determining Mean and Variance: Example Problems

1. Place eight chips in a bowl: Three have the number 1 on them, two have the number 2, and three have the number 3. Say each chip has a probability of 1/8 of being drawn at random. Let the random variable X equal the number on the chip that is selected, so that the space of X is S = {1, 2, 3}. Make reasonable probability assign

Probability Calculation Using Normal Distribution and Z score

88. Refer to the Baseball 2005 data, which reports information on the 30 major league teams for the 2005 baseball season. 1. Select the variable team salary and find the mean, median, and the standard deviation. 2. Select the variable that refers to the age the stadium was built. (Hint: Subtract the year in which the stadium w

Binomial Distribution /Probability

According to a survey 60% of all consumers have called an 800 or 900 phone number for information about some product. Suppose a random sample of 25 consumers is called and interviewed about their buying habits. 1.What is the probability that 15 or more of these consumers have called an 800 or 900 phone number for information

Statistics Problems- Variety of Problems

1. A recent issue of Fortune Magazine reported that the following companies had the lowest sales per employee among the Fortune 500 companies. Company Seagate Technology SSMC Russel Maxxam Dibrell Brothers a. How many elements are in the above data set? 5 b. How many variables are in the above data set? 2 - Sa

Probability of Adults Owning Stocks

A study for McNeil Associates for the NYSE revealed that 43% of all US Adults are stockholders. In addition the study determined that 75% of all US adult stockholders have some college education. Suppose 37% of all US adults have some college education. A US adult is randomly selected. a. What is the probability that the


According to the US Bureau of Labor Statistics, 75% of the women 25 through 49 years of age participate in the labor force. Suppose 78% of the women in that age group are married. Suppose also that 61% of all women 25 through 49 years of age are married and are participating in the labor force. a. What is the probability that