Given a random variable having the normal distribution, with mean 26 and variance 3.8416, i) find the probability that it will take values between 21.688 to 30.312. ii) find the probability that it will take values greater than 28.45 iii) find the probability that it will take values greater than 21.4332

Given a random variable having the normal distribution, with mean 26 and variance 3.8416, i) find the probability that it will take values between 21.688 to 30.312. ii) find the probability that it will take values greater than 28.45 iii) find the probability that it will take values greater than 21.4332

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

A random variable has a longnormal distribution with mean 10 and variance 4. Calculate the probability that the variable will take a value between 7.5 and 12.5
When a normal random variable Y is transformed to a standard normal random variable Z, the mean value of Z is 1 and the standard deviation value is 0.
Give the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.25
We are examining farmer production in marginal land. A sample of 100 farmers produce this crop with mean of 100 bushels per acre. Assume a normal distribution. Q1: What is the probability an individual farmer in this population produces 103 or less bushels of corn?Q2: What is the probability the mean bushels of corn produced is 103 or less bushels of corn?
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
59
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: a. 0.0 b. =P(Z>1) c. =P(Z=0) d. =P(Z<1) e. None of the others
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.
A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is selected. The probability that sample mean is between 56 and 63 is: Select one: a.0.8715 b.0.6147 c.0.2734 d.0.1133 e.0.2266
A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the likelihood there is less than 3.0 ounces remaining in the tube?