Answered: 7. Assume that the number of shares of… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

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Question

7. Assume that the number of shares of a stock market in the UK bought over time
follows a Poisson distribution with a rate A = 12 per minute.
1) How many minutes will it take for 36 shares to be bought with a probability
of at least 94.8%? Denote by n this minimum number of minutes.
2) Calculate the average waiting time for 40 shares to be purchased.

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Suppose that during lean hours in a call center, the number of calls received during any specified time period follows a Poisson distribution and, on average, the call center receives 20 calls in a hour. 1.What is the probability that there will be 25 calls in a 1 hr interval during lean hours? 2.What is the probability that there will be at least 1 call received in a 15 min interval during lean hours?
Suppose that the number of calls coming per minute into an airline reservation center follows a Poisson distribution. Assume that the mean is 3 calls per minute. The probability that at least two calls are received in a given two-minute period is
Suppose the average number of customers going through a drive-thru in a one hour period is 30 and follows a Poisson process. What is the probability that the person working the drive-thru window has to wait more than 32 minutes for 8 customers come through?
Suppose that the number of calls coming per minute into an airline reservation center follows a Poisson distribution. Assume that the mean number of calls is 3 calls per minute. The probability that no calls are received in a given one-minute period is
A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 a.m. time slot exactly five students will arrive.
Suppose that an average of 15 customers per hous arrive at a shop according to a poisson procee. What is the probability that the shopkeeper will have a customer within 20 minutes of opening the store?
Suppose the number of hours that people spend watching TV each day follows a Poisson distribution with a mean of 2 hours. What is the probability that a randomly selected person spends more than 3 hours watching TV per day? If a group of 100 people is randomly selected, what is the probability that their average TV-watching time is between 1.8 and 2.2 hours per day?
2- In a telephone exchange, the number of incoming calls is estimated to follow a Poissondistribution with a mean of 12 calls per hour.● Find the probability that the time between two consecutive calls is less than 5.minutes● For every 1,000 calls answered by the central, a salary incentive is granted to all theworkers of that company. How soon are workers expected to obtain saidcompensation?
The number of visitors to a webserver per minute follows a Poisson distribution. If the average number of visitors per minute is 8, what is the probability that: a) There are three or fewer visitors in one minute?b) There are exactly two visitors in 15 seconds?

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