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 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
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
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
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
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
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 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
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 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
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
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
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
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
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
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
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
Please see the attached problem.
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
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
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
Michael's Tire Company performs free tire balance and rotation for the life of any tires purchased there on a first-come, first-served basis. One mechanic handles this and can usually complete the job in an average of 20 minutes. Customers arrive at an average rate of two per hour for this service. a. How long will a customer
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
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
1. Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red. b) Determine the probability that you pick at least one green marble. 2. What is the probability of at least two people in a class o
You are rolling a pair of dice, one red and one green. What is the probability of the following out comes: a. The sum of the two numbers you roll from the dice is 8. b. The sum of the two numbers you roll is 12. c. The sum of the two numbers you roll is 7.
Two coins are tossed simultaneously. What is the probability of tossing two heads? A coin is tossed three times. What is the probability of tossing exactly two heads? Two standard dice are rolled. What is the probability of rolling a total of 9? If the odds in favour of rain tomorrow are 4:7, what is the probability of