Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d).The probability that Z is less than 1.56 is(Round to four decimal places as needed.)b. What is the probability that Z is greater than 1.87?The probability that Z is greater than 1.87 is(Round to four decimal places as needed.)c. What is the probability that Z is between 1.56 and 1.87?The probability that Z is between 1.56 and 1.87 is(Round to four decimal places as needed.)d. What is the probability that Z is less than 1.56 or greater than 1.87?The probability that Z is less than 1.56 or greater than 1.87 is(Round to four decimal places as needed.)View instructor tip Help me solve thisBType here to search25335R1Get more help.79°F0Next5:425/1/20

Required probability is P(Z<1.56)

Answered: Given a standardized normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A normal distribution has a mean of 105 and a standard deviation of 10. Find the probability that a value selected at random is in the following interval. at most 125 The probability that a value selected at random is in the given interval is%. (Type an integer or a decimal.) D
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Find the probability for a normal distribution
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Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
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Find the z-score such that the interval within z standard deviations of the mean for a normal distribution contains a. 36% of the probability. b. 86% of the probability. c. Sketch the two cases on a single graph. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. z= (Round to two decimal places as needed.)

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