Based on information from MRI Network, some jobapplicants are required to have several interviewsbefore a decision is made. The number of requiredinterviews and the corresponding probabilities are:1 (0.09); 2 (0.31); 3 (0.37); 4 (0.12); 5 (0.05); and 6(0.05).9. What is the sum of P(x)? Does thegiven information describe aprobability distribution? Justify youranswer.

Given, no.of required interviews(X) 1 2 3 4 5 6 P(X) 0.09 0.31 0.37 0.12 0.05 0.05

Answered: Based on information from MRI Network,…

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...

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Q2An online shopping company promises that fresh food order will be delivered to a household within 90 minutes. The marketing manager of the company reviews the delivery time of all orders in the last month and finds that the delivery time follows a normal distribution with mean delivery time of 77.5 minutes and standard deviation of 10.5 minutes.(a) Find the probability that an order can be delivered to the customer before the promise time.(b) The marketing manager wants to adjust the promise time from 90 minutes to a new level: K minutes. so that only 0.3% of the orders would arrive after K minutes. What should the value of K be? (Round off your answer to the nearest minute. )(c) If the delivery time of each order will be reduced by 2.5%. Find the new mean and new standard deviation of the delivery time after the change. Answer (a) (b) (c) and show clear calculation steps
Records of a health insurance company show that 30% of its policyholders over 50 submit a claim during the year. 15 policyholders over 50 are selected at random; what is the probability that at least 10 will submit a claim during the year? What is the probability that 4 will submit a claim during the year? How many do you expect to submit a claim. What is the standard deviation?
The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950? 0.4878 0.9756 0.9878 0.5122
In recent years, the New York Stock Exchange's trading volume has increased. The average daily volume for the first two weeks of January 2018 was 646 million shares. The daily volume probability distribution is roughly normal, with a standard deviation of around 100 million shares.a. What are the probabilities that the trading volume will be under 400 million shares?b. What percent of the time does the volume of trade reach 800 million shares?c. What volume will trigger a press release if the exchange wishes to issue one on the top 5% of trading days?
Hits to a high-volume website are assumed to follow a Poisson distribution with a mean of 1200 per day. What is the probability that the number of hits to the website tomorrow will be between 1190 and 1220 (inclusive)?
4 ≡≡ (mod 8)
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.53. Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland. (a) P(exactly one major hurricane will strike the mainland) = (Round to three decimal places as needed.) (b) P(at most one major hurricane will strike the mainland) (Round to three decimal places as needed.) (c) P(more than one major hurricane will strike the mainland) = (Round to three decimal places as…
According to a certain website, the average daily time spent on social networking by internet users worldwide is 145 minutes. Assume the standard deviation is 45 minutes and that the probability distribution is normal. What is the probability that a randomly selected person spends daily at least 3 hours on social networking? Select one: a. 0.7794 O b. 0.2206 c. 0.7823 O d. 0.2177
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2.3 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.) per hour (b) What is the mean service rate in jobs per hour? (Round your answer to four decimal places.) per hour (c) What is the average number of jobs waiting for service? (Round your answer to four decimal places.) (d) What is the average time (in hours) a job waits before the welder can begin working on it? (Round your answer to two decimal places.) h (e) What is the average number of hours between…

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