Question

B.1) Let the random variable X represent the number of automobiles that are used for official business purposes on any given workday. The probability distribution for company A is x 1 2 3 pA(x) 0.3 0.4 0.3 and for company B is x 0 1 2 3 4 pB(x) 0.2 0.1 0.3 0.3 0.1 Compute the variances for both companies, and compare them.

          B.1) Let the random variable X represent the number of automobiles that are used for official business purposes on any given workday. The probability distribution for company A is

x 1 2 3
pA(x) 0.3 0.4 0.3

and for company B is

x 0 1 2 3 4
pB(x) 0.2 0.1 0.3 0.3 0.1

Compute the variances for both companies, and compare them.

B.1) Let the random variable X represent the number of automobiles that are used for official business purposes on any given workday. The probability distribution for company A is

x 1 2 3
pA(x) 0.3 0.4 0.3

and for company B is

x 0 1 2 3 4
pB(x) 0.2 0.1 0.3 0.3 0.1

Compute the variances for both companies, and compare them.

Added by Elizabeth B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Juhi Singh

03/20/2022

Step 1

3 + 2*0.4 + 3*0.3 = 1.9 Expectation of X^2 = 1^2*0.3 + 2^2*0.4 + 3^2*0.3 = 4.6 Variance of X = Expectation of X^2 - (Expectation of X)^2 Variance of X = 4.6 - 1.9^2 Variance of X = 4.6 - 3.61 Variance of X = 1.6 Show more…

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B.1) Let the random variable X represent the number of automobiles that are used for official business purposes on any given workday. The probability distribution for company A is and for company B is Compute the variances for both companies, and compare them.