6. A company produces laptops. Their products have 1 or 2 or 3 USB ports. The proportion of laptops based on the number of USB ports on them is given by the following pmf: p(k) = C (4 – k)³; k = 1,2, 3 (k is the number of USB ports on the laptop) Note: p(1), p(2) and p(3) are the proportion of laptops with one, two and three USB ports, respectively. a. What is the value of the constant C? b. Let the random variable X be the number of USB ports on a randomly selected laptop. What is the mean of X? c. What is the variance of X?

6. A company produces laptops. Their products have 1 or 2 or 3 USB ports. The proportion of laptops based on the number of USB ports on them is given by the following pmf: p(k) = C (4 – k)³; k = 1,2, 3 (k is the number of USB ports on the laptop) Note: p(1), p(2) and p(3) are the proportion of laptops with one, two and three USB ports, respectively. a. What is the value of the constant C? b. Let the random variable X be the number of USB ports on a randomly selected laptop. What is the mean of X? c. What is the variance of X?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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