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As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X be the finishing time for a finisher in the New York 10-km run. a) What is the chance that finishers complete the run with the times b

Probability Question

In a class of 10 students, what is the probability that at least 2 students were born on the same day of the year (365 days)?

M/M/1 queuing model

Please give step by step solution to the following problems. 8. The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour; on average, 10 customers arrive to purchase tickets

Conditional Probability, Intersection, and independence

In a study to determine frequency and dependency of color blindness relative to females and males 1000 people were chosen at random and the following results were recorded: A. Convert the table to a probability table by dividing each entry by 1,000. B. What is the probability that a person is a woman, given that the pers

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

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

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?


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

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

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

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,


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


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

book review probability of random selection

2. The editor of a publishing company is trying to decide whether to publish a proposed business statistics textbook. Information on previous textbooks published indicates that 10% are huge successes, 20% are modest successes, 40% break-even, and 30% are losers. However, before publishing decision is made, the book will be revie

Probability Review Questions

Question 1 The following five (5) situations require the application of one of the common discrete or common continuous distributions we learned about. All you have to do for each of these problems is identify the correct probability mass function or probability density function name. DO NOT SOLVE THE PROBLEM. There is only

Queues and process simulation modeling

1. Star Savings and Loan is planning to install a drive-through window. Transaction times at the drive-through are expected to average three minutes because customers would use it for simpler transactions. The arrival rate is expected to be ten customers per hour. a. Compute the operating characteristics for the drive-through w

What is the probability?

1. A group of volleyball players consists of four Grade-11 students and six Grade-12 students. If six players are chosen at random to start a match, what is the probability that three will be from each grade? 2. If a bowl contains ten hazelnuts and eight almonds, what is the probability that four nuts randomly selected from t