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Probability

Joint Probability Table

Please refer to the attachment for the Joint Probability Table. A. If a driver in this city is selected at random, what is the probability that he or she drives less than 10,000 miles per year or has a accident? B. If a driver in this city is selected at random, what is the probability that he or she drives 10,000 or more

Simple spaces, events, and probability

Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting A. The probability of selecting 3 females and 2 males is approximately? B. The probability of selecting 4 females and 1 male is appro

Theoretical and Experimental Probability and Sum of Volumes

1) Calculate the theoretical probability of rolling "snake eyes" or two ones with a pair of dice. Compare the theoretical probability of the results of Mike's experiment. Are the theoretical and experimental probabilities the same? Explain any differences. See the attachment for the data of Mike's experiment. 2) Jeff built

Probability of Keeping in Touch

Please help with the following probability problems. Show the formula and the steps in working the formula for each problem. In a poll conducted in 2007, 2000 adults ages 18 yr and older were asked how frequently they are in touch with their parents by phone. The results of the poll are as follows: Answer

Determine whether E and F are independent events.

1. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independent events. 2. Explain why the following statement is incorrect. The probability that a b

Few probability problems

1: The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects? 2: If the odds of winning a raffle are 2:229, what is the probability of winning? 3: One thousand raffle tickets are

Probability, Tree diagram, Sample space

1. A bag contains 6 purple marbles, 7 azure marbles and 10 orange marbles. What is the chance of drawing a purple marble? If a purple marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form. 2. A mini lice

Probability Matrix and System of Equations

The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down, and a .4 probability the price will be unchanged. If the last price was unchanged, there is a .35 probability it will be down and a .35 probabilit

What is the probability that U exceeds 1/2?

A random variable T is selected that is uniformly distributed over the interval (0; 1]. Then a second random variable U is chosen, uniformly distributed on the interval (0; T]. What is the probability that U exceeds 1/2?

Probability

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, what is the probability that he or she would prefer supreme? Give solution exactly in reduced fraction form. 2. If

Rule of Probability

A study of 203 advertising firms revealed their income after taxes: Income after Taxes Number of Firms Under $1 million 102 $1 million to $20 million 54 $20 million or more 47 (a) What is the probability an advertising firm sele

A survey of mathematics

Please see attachment 1# Mr. Doodle's grade distribution over the past 3 years for a course in college algebra is shown in the chart below.
 Grade Number A 45 B 180 C 110 D 95 F 65 I 5 If Jane plans to take a college algebra course with Mr. Doodle, determine the empirical probability that sh

Probability and expected value..

1. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the second marble is blue, given that the first marble is blue. 2. There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how ma

Normal Curve Approximation to the Binomial Distribution

10. Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent. The average size of the fish in a lake is 11.4 inches, with a standard deviation of 3.2 inches. Find the probability of catching a fish longer than 17 inches. 11. A company installs 5000 light

probability distribution of the model

Alice Tanner is a nurse on the night shift from 10:00 P.M. to 6:00 A.M. at Community Hospital. She has 15 patients for whom she is responsible in her area. She averages two calls from each of her patients every night on average (Poisson distributed) and she must spend an average of 10 minutes (exponentially distributed) with eac

Transportation problem

Norfolk, Virginia, a major seaport on the East Coast, has a ship coal loading facility. Coal trucks filled with coal presently arrive at the port facility at mean rate of 149 per day (Poisson distributed). The facility operates 24 hours a day. The coal trucks are unloaded one at a time on a first-come, first-served basis by m

T.J.'s small local grocery store

T.J.'s market is a small local grocery store with only one checkout counter. Assume that the shoppers arrive at the checkout lane at an average rate of 15 customers per hour and that the average order takes 3 minutes to ring up and bag. a) If T.J. does not want the average time waiting for service to exceed 5 minutes, what w

Bayes Theorem

Problem #38 review question need help The key formula on the second page is the formula needed to use to complete number 38. This is supplementary exercise to help me. Solution and explanation. 38. A Morgan Stanley Consumer Research Survey sampled men and women and asked each whether the preferred to drink plain bottled

A project using PERT

A project was planned using PERT with three times estimates. The expected completion time of the project was determined to br 40 weeks. The variance of the critical path is 9. A What is the probability that the project will be finished in 40 weeks or less? B. What is the probability that the project takes longer than 40 we

Statistics

1. Discuss the concepts of random variable and a probability distribution. 2. A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. a. Compute the probability that 2 or fewer will withdraw b. Compute the

Computing Binomial Probability Distribution

Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30). (Round all z values to 2 decimal places.) Compute the following: (a) The mean and standard deviation of the random variable. (Round your "Ï?" to 4 decimal places and mean to 1 decimal place) ?= ?= (b) The probability that X is 16

Queuing Analysis Problem

The Riverview Clinic has two general practitioners who see patients daily. An average of six patients arrive at the clinic per hour. Each doctor spends an average of 15 minutes with a patient. The patients wait in a waiting area until one of the two doctors is able to see them. However, because patients typically do not feel

Queuing Analysis ..

The Bay City Police Department has eight patrol cars that are on constant call 24 hours a day. A patrol car requires repairs every 20 days, on average, according to an exponential distribution. When a patrol car is in need of repair, it is driven into the motor pool, which has a repair person on duty at all times. The average

Decision Analysis

Use the data in the following payoff matrix and regret matrix to answer the following questions: Payoff Matrix Airport is Built at Location Land Purchased at Location(s) A B A $75.0 $15.0 B ($25.0) $125.0 A&B

Practice set

16. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability of the indicated result. The second marble is blue, given that the first marble is blue. a. 1/28 b. 0 c. 1/7 d. 1/8 17. Find the probability. In a certain city,

Probability

Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 6.9 m

Probability

According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456. (Round z-score computation to 2 decimal places and your final an

Step by step probability problems

Please send detailed solutions in 2 hours. 1. You have grown soybeans for 40 years, and have experienced 5 crop failures in that time period. What is the probability of a crop failure in any given year? 2. Based on the annual probability of crop failure you found in question 1, what is the expected number of crop failures

Probability and demand for ABC company

2. The demand for a product of ABC company varies greatly from month to month. The probability distribution of the company's monthly demand is given in the following table Demand (in units) Probability 300 0.20 400 0.30 500 0.35 600 0.15 (a) If the company orders the expected monthly demand amount, what should ABC's mon