A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message? (b) What is the probability that exactly 6 of the calls involve a fax message? (c) What is the probability that at least 6 of the calls involve a fax message? (d) What is the probability that more than 6 of the calls involve a fax message?

A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message? (b) What is the probability that exactly 6 of the calls involve a fax message? (c) What is the probability that at least 6 of the calls involve a fax message? (d) What is the probability that more than 6 of the calls involve a fax message?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section: Chapter Questions

Problem 7RP

See similar textbooks

Similar questions

Customers are used to evaluate preliminary product designs. In the past, 91% of highly successful products received good reviews, 57% of moderately successful products received good reviews, and 15% of poor products received good reviews. In addition, 40% of products have been highty successful, 35% have been moderately successful and 25% have been poor products. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that a product attains a good review? (b) If a new design attains a good review, what is the probability that it will be a highly successful product? (c) If a product does not attain a good review, what is the probability that it will be a highly successful product? (a) 5985 (b) 6082 (c) i 0897
An Internet Service Provider opens 10 new accounts per day, on average. Let X be a random variable that returns the number of new accounts open in any given day. Answer the following questions; insert your answers as TwO decimals as in 0.xx: (a) The probability that on any given day there are at most 10 accounts open is (b) The probability that on any given day there are exactly 10 accounts open is (c) The expected number of new accounts over one week is (insert your answer as an integer, rounded to the nearest):
The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a student uses fewer than 400 minutes? 0 0.023 0.159 0.977
High temperatures in Antalya for the month of July follow a uniform distribution over the interval of 28 degrees to 43 degrees. What is the probability that the high temperature on a day in July exceeds 40 degrees?
Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ=1/10. If someone arrives immediately ahead of you at a public telephone booth, find the probability that you will have to wait, (a) More than 10 minutes (b) Between 10 and 20 minutes
b) Given the following statistics, what is the probability that a woman has cancer if she has a positive mammogram result? -One percent of women over 50 have breast cancer. -Ninety percent of women who have breast cancer test positive on mammograms. -Eight percent of women will have false positives.
9. The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calculated to be 1050, would you be surprised? Explain.
The length of a particular species of fish can be assumed to be normally distributed with mean 25cm and standard deviation 3cm. An angler catches one of these fish from a river. What is the chance that the fish is between 19cm and 31cm in length? 95 100 68 50
Using the Gaussian Probability Density function write a function that will calculate the probability that variable x will be in the range µ − ασ < x < µ + ασ, where α is some multiple of the variance.
PART D The number of false fire alarms in a suburb of Detroit averages 8.4 per day. Assuming that a Poisson distribution is appropriate: What is the probability that exactly 8 false alarms will occur on a given day? What is the probability that less than 8 false alarms will occur on a given day? What is the probability that more than 8 false alarms will occur on a given day? (Hint: the probabilities of all possible cases must add to one).
For the Covid-19 pandemic, let’s make the following assumptions: (i) the natural infection rate is 20% (i.e., a person who is not vaccinated has 20% chance of being infected); (ii) the vaccine is 90% effective at preventing Covid-19 infection (i.e., a vaccinated person has only 2% chance of being infected); (iii) the probability of a random person being vaccinated is 60%. Without knowing whether or not a person is vaccinated, what is the probability that this person will be infected? Given that a person is infected, what is the conditional probability that this person is vaccinated?
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 70 with a standard deviation of 9.5 Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of 65 ml/kg or lower?