A driving test examiner takes 8 driving tests per day. The probability that a candidate passes their driving test is 0.8 a) Find the expectation, variance, and standard deviation for the number of candidates passing their test on a typical day. b) Find the probability that 7 students pass their test on a given day. c) Find the probability that nobody fails their test on a given day. d) Find the probability that 5 or fewer students pass their test on a given day.

A driving test examiner takes 8 driving tests per day. The probability that a candidate passes their driving test is 0.8 a) Find the expectation, variance, and standard deviation for the number of candidates passing their test on a typical day. b) Find the probability that 7 students pass their test on a given day. c) Find the probability that nobody fails their test on a given day. d) Find the probability that 5 or fewer students pass their test on a given day.

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

According to a study conducted by the Gallup organization, the proportion of Americans who are afraid to fly is 0.10. A random sample of 1100 Americans is taken and they are asked if they are afraid to fly. Find the probability that the sample portion of Americans in the sample who say they are afraid to fly is greater than 12. QUESTION REFERS TO DISTRIBUTION OF THE SAMPLING PROPORTION PHAT
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
According to the Disney Times, 37% of all people in NeverNeverLand are digitally illiterate. Suppose you randomly select eleven people off a city street. Make a probability distribution of the number of digitally illiterate people out of the eleven in the sample. Make a histogram showing the probability distribution of the number of digitally illiterate people out of the eleven people in the sample. Find the mean and standard deviation of the probability distribution. Find the probability of out of eleven people, at least 5 are digitally illiterate. Find the probability of out of eleven people, at most 8 are digitally illiterate. Find the probability of out of eleven people, between 6 and 9, inclusive, are digitally illiterate.
2) The probability that a randomly selected student is female given that the student received a business degree, is
Suppose that the probability of a plane arriving on time is 80%. Out of ten flights, what is the probability that at least seven will arrive on time? Explain your reasoning.
A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this population. what is the probability that the sample proportion is between 0.53 and 0.56? What is the probability that the sample proportion is less than 0.49?
Delta Airlines flights from Bostin to Seattle are on time 70% of the time. Suppose 10 flights are randomly selected, and the number of on-time flights is recorded. round answer to 3 significant figures the probability that exactly 5 flights are on time is =the probability that at most 7 flights are on time is =the probability that at least 9 flights are on time is=
There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.65. Identify the type of histogram for the probability distribution.