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1. The number of gallons of ice cream ordered at JJ Ice Cream on a hot summer day has the following probability density function f(x)= 1.5.x.(200-x) for 0 ≤ x ≤ 100 and 0 otherwise. 106 a) What is the probability that X > 50? b) What is the probability that X < 50? [ c) What is the probability that 25 < X < 75?

1. The number of gallons of ice cream ordered at JJ Ice Cream on a hot summer day has the following probability density function f(x)= 1.5.x.(200-x) for 0 ≤ x ≤ 100 and 0 otherwise. 106 a) What is the probability that X > 50? b) What is the probability that X < 50? [ c) What is the probability that 25 < X < 75?

A First Course in Probability (10th Edition)
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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1. The number of gallons of ice cream ordered at JJ Ice Cream on a hot summer day has the following probability density function 1.5.x.(200-x) 106 f(x)= for 0 ≤ x ≤ 100 and 0 otherwise. a) What is the probability that X > 50? b) What is the probability that X < 50? c) What is the probability that 25 < X < 75? d) What is the expected value of X (E(X))? olej e) What is the expected value of X - 5? f) What is the expected value of 6X? g) What is the expected value of x² ? h) What is the probability that X is less than its expected value? i) What is the expected value of x²+3x+1? j) What is the 70th percentile of X? k) What is the probability that X is within 30 of its expected value? 1) What is the probability that X = 71?
Transcribed Image Text:1. The number of gallons of ice cream ordered at JJ Ice Cream on a hot summer day has the following probability density function 1.5.x.(200-x) 106 f(x)= for 0 ≤ x ≤ 100 and 0 otherwise. a) What is the probability that X > 50? b) What is the probability that X < 50? c) What is the probability that 25 < X < 75? d) What is the expected value of X (E(X))? olej e) What is the expected value of X - 5? f) What is the expected value of 6X? g) What is the expected value of x² ? h) What is the probability that X is less than its expected value? i) What is the expected value of x²+3x+1? j) What is the 70th percentile of X? k) What is the probability that X is within 30 of its expected value? 1) What is the probability that X = 71?
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