If the proportion of a brand of television set requiring service during the first year of operation is a random variable having a beta distribution with a = 3 and B= 2 what is the probability that at least 80% of the new models of this brand sold this year will require service during their first year of operation?

If the proportion of a brand of television set requiring service during the first year of operation is a random variable having a beta distribution with a = 3 and B= 2 what is the probability that at least 80% of the new models of this brand sold this year will require service during their first year of operation?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

he Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?
A small river is found to be polluted due to the chemical waste from two major industries, A and B. Due to the strict standards enforced by the EPA, the probability of controlling the pollutions from A and B are 0.7 and 0.85, respectively, in the next two years. It is estimated that, if only one of the industries complies with the strict standards of EPA, there is a 75 percent probability of controlling the pollution in the river to an acceptable level. (a) Find the probability of controlling the pollution in the river in the next two years. (b) If the pollution in the river is not controlled in the next two years, what is the probability that it is caused entirely by industry A?
29 percent of all Samsung cell phones are submitted for service while under warranty. Of these, 66 percent can be repaired, whereas the other 34 percent must be replaced with new units. If a company purchases 12 Samsung cell phones, what is the probability that exactly 2 will end up being replaced under warranty? What would the mean number of cell phones being replaced under warranty be? What would be the variance be for the cell phones being replaced by warranty?.
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 52 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is ______ (Round to four decimal places as needed.) The company will accept ____% of the shipments and will reject ____% of the shipments, so______________ (many of the shipments will be rejected or almost all of the shipments will be accepted. (Round to two decimal places as needed.)
part 3 4 The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
The Washington Wizards and the Philadelphia 76ers are two teams in the National Basketball Association. Washington and Philadelphia will play multiple times over the course of an NBA season. Assume that the Washington has a 25% probability of winning each game against the Philadelphia. Construct a simulation model that uses the negative binomial distribution to simulate the number of games Washington would lose before winning four games against the Philadelphia. Now suppose that the Wizards face the Philadelphia in a best-ofseven playoff series in which the first team to win four games out of seven wins the series. Using the simulation model from part (a), estimate that probability that the Washington would win a best-of-seven series against the Philadelphia 76ers.
7) A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints 0 1 2 3 4 5Probability 0.18 0.26 0.35 0.09 0.07 0.05 What is the variance of complaints received per week? Please round your answer to the nearest hundredth.
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 47 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 6000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)