A JJU student can take between 1 and 6 courses per semester. Let X be the number of courses a randomly selected JJU student takes. Suppose X has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution function. X p(x) F(x) 1 2 4 .06 .14 .29 .06 .20 .37 b 3 .17 5 6 .09 .25 .91 1 d. Calculate the expected value of x² L e. Calculate the variance of X? f. We randomly and independently select 3 different JJU students. What is the probability that all three of the selected students take more than 4 classes?

A JJU student can take between 1 and 6 courses per semester. Let X be the number of courses a randomly selected JJU student takes. Suppose X has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution function. X p(x) F(x) 1 2 4 .06 .14 .29 .06 .20 .37 b 3 .17 5 6 .09 .25 .91 1 d. Calculate the expected value of x² L e. Calculate the variance of X? f. We randomly and independently select 3 different JJU students. What is the probability that all three of the selected students take more than 4 classes?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 43E

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