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# Probability

### Objective function and probability,

1. A company has 3 goals, listed in order of importance. 1. Achieve a total profit of at least \$240 million. 2. Maintain the current employment level of 3,000 employees. 3. Invest no more than \$70 million in capital. What is the objective function for a goal program for this situation? A) P1d1-, P2d2-, P3d3+ B) P1d1-, P2

### Determining Probability: House Burglary Example

The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized? (a) Is this a binomial experiment? Explain how do you know. (b) Use the correct formula to find the probability that, out of 50 houses, exactly 4 of

### Determining Probability: Employee Age Example

The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random will have an age greater than or equal to 30 and less than or equal to 39? 2 0 2 6 7 9 3 0 3 4 5 6 8 8 9 9 4 2 4 5 6 7 5 2 3 4 7 6 1 3

### What is the probability of having 0 or 1 error per newspaper page?

It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 0 or one error per page?

### Probability distribution for demand

Loebuck Grocery orders milk from a dairy on a weekly basis. The manager of the store has developed the following probability distribution for demand per week (in cases):.........see attached

### Determining Probability: Gambling Example

Please show me the proper formula and step to arrive to the answer to this question. I can't figure it out at all. A gamble is cutting a deck of cards for \$1000. What is the probability that the card for the gambler will be the following? - a face card - a queen - a spade - a jack of spades - a quick response will be g

### Expected Number of Days to Receive Order: Standard Deviation

A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane; an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive an order it is placed (referre

### Probability, skew lines and intersecting lines

1. Refer to the figure to classify the statement as true or false. 2. What is the probability of a dart landing in the shaded region? 3. What is the probability of spinning an A on this spinner?

### Decision Analysis and Probability Tree

Problems: 9-13, 15, 16, 18, 19, 20 Scenario 15-1 An investor is considering 4 investments, A, B, C and leaving his money in the bank. The payoff from each investment is a function of the economic climate over the next 2 years. The economy can expand or decline. The following payoff matrix has been developed for the decisio

### Mean & Variance of a Probability Distribution

A bank keeps tracks of customers coming into the bank between 12 Noon and1 PM on Monday. The probability distribution for customer arrivals can be represented by the following table: X (number of customers) p(x), probability of x: 0 0.1 1 0.15 2 0.18 3 0.2 4 0.2 5 0.1 6 0.07 Find the average and the standard deviation

### Probability Problems

1. Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese. If we picked a college sophomore at Crocodile Community College at random, theoretically what is the probability that he or she would prefer cheese? Give solution exactly in reduced fraction form

### Mathematics

1. The theoretical probability of undesirable side effects resulting from taking Pyrene is 1 in 15. If 210 people take Pyrene to relieve congestion, theoretically how many will encounter undesirable side effects? 2. A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a red mar

### Determine the probability

1. 30 basketballs (15 Spalding, 10 Wilson, and 5 other brand name balls) are on a basketball court. Barry Wood closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is a Wilson or a Spalding. 2. A pet shop is selling a calico cat, a Siamese cat, a Persian cat, an

### Binomial Probability for an Automobile Manufacturer

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has t

### Factorial Expressions and Probability

(1) You can answer any 15 questions from the 18 questions on an exam. In how many different ways can you choose the questions, assuming that the order in which you choose the questions is irrelevant? (2) 7!11!/4!13! Find the Value (3) Suppose that the time required to complete a 1040R tax form is normally distributed w

### Probability

1. Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that a. You will draw a dime? b. You will draw a nickel? c. You will draw a quarter? 2. You are rolling a pair of dice, one red and one green. What is the probability of

### Calculating probability based on binomial distribution.

Probability: It is estimated that 26% of all California adults are college graduates and that 30% of California adults are regular internet users. It is also estimated that 21% of California adults are both college graduates and regular internet users. A) What is the probability that a California adult is an internet user, g

### Find the probability ..

A drug tester claims that a drug cures a rare skin disease 78% of the time. The claim is checked by testing the drug on 100 patients. If at least 74 patients are cured, the claim will be accepted. Find the probability that the claim will be rejected assuming that the manufacture's claim is true. Use the normal distribution to

### Unusual Observation Statistics

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 228 if &#956; =227 and &#963; = 3.9 . For a sample of n=65, find the probability of a sampl

### Permutations, Probability, and Combination

You are assigned a four-digit PIN by your bank. What is the probability that the four digits in your PIN will be distinct? Please show how you achieve the answer.

### Probability problems

Please show ALL WORK. 1. If an ace has a face value of one, a 2 has a value of two, a Jack has a value of 11, and so on for all of the cards, what is the probability of drawing a card that has a face value of less than six? 2. A friend tells you that a tree diagram can be used to generate the sample space for any experime

### Statistics

The graph below shows the results of a survey of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participate in the survey and ask each one of them to name the most annoying habit of other drivers. Let x represent the number who named talking on the cell phone as the mo

### Statistics

A frequency distribution is shown below. Complete parts (a) through (e). The number of dogs per household in a small town Dogs 0 1 2 3 4 5 Households 1157 417 168 45 26 16 a) Use the frequency distribution to construct a probability distribution. X

### Statistics

Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts (a) through (e). X 0 1 2 3 4 5 6 7 8 P(x) 0.02 0.04 0.05 0.05 0.11 0.24

### What is the probability it was from manufacturer 2

2) The Positively Charged company uses capacitors from two different manufacturers. Historically, 60% of the capacitors come from manufacturer 1. While 90% of capacitors from manufacturer one pass quality-control checks, only 75% of the capacitors from manufacturer two pass the checks. A capacitor selected at random is found

### Quantitative Research methods

Need assistance with working a problem dealing with quantatative research. Please provide me with the step by step process to resolve this problem. The economy is coming back. John's boss is considering launching a new product. The plant engineers have stated that if demand is high, the company will make \$70 million dollars

### Probability with a table (Please assist with the attached problem).

You are taking two courses during winter session, math and history, and your subjective assessment of your performance is Event Probability fail both courses .05 fail math (irrespective of whether or not you fail history as well) .15 fail history (irrespective of whether or not you fail math as well) .08 Let's develop

### Probability, Distribution, Venn Diagrams, Standard Deviation, Mean, Median, and Mode NEED HELP!!!

Shade the Venn Diagram to represent the set. 1) A' u B' 2) C' A &#8745; (A u B) Use a Venn Diagram and the given information to determine the number of elements in the indicated set. 3) n(U) = 75, n(A) = 45, n(B) = 23, n(C) = 20, n(A &#8745; B) = 9, n(A &#8745; C) = 6, n(B &#8745; C) = 7 and n(A &#8745; (B &#8745; C) ) = 4 F

### Determine the warranty period

The project managers of a television manufacturing company plan to determine a warranty period for their 46" flat screen TV's so that only less than 4% of the time a failure would happen during the warranty period. The quality control department has notified the managers that the life of such a brand is normally distributed w

### Graphical Probability & Graphical Cumulative Probability

4) A fair coin is tossed 10 times. Let X be the number of tails observed. (a) (4 points) Use Excel to construct a tabular and a graphical probability distribution for X. (b) (4 points) Use Excel to construct a tabular and a graphical cumulative probability distribution for X.