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The exponential distribution Consider the random variable X that follows an exponential distribution, with μ =...

The exponential distribution

Consider the random variable X that follows an exponential distribution, with μ = 40.

The standard deviation of X is σ = a. 40 b.0.0006 c. 6.321 d. 0.0250 .

The parameter of the exponential distribution of X is λ = a.40 b. 0.0250 b. 6.321 d. 0.0006 .

What is the probability that X is less than 27?

P(X < 27) = 0.2212

P(X < 27) = 0.5034

P(X < 27) = 0.4908

P(X < 27) = 0.3935

What is the probability that X is between 22 and 51?

P(22 < X < 51) = 0.2206

P(22 < X < 51) = 0.2975

P(22 < X < 51) = 0.2794

P(22 < X < 51) = 0.5769

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

in exponential mean = variance = 40

standard deviation = sqrt(40) = 6.321

The standard deviation of X is σ = c. 6.321  

parameter = 1/mean = 1/40 = 0.025

The parameter of the exponential distribution of X is λ = b. 0.0250

What is the probability that X is less than 27?

The following information is provided:

The provided mean is β=40.

We need to compute . Therefore, the following is obtained:

P(X < 27) = 0.4908

What is the probability that X is between 22 and 51?

The following information is provided:

The provided mean is β=40.

We need to compute . Therefore, the following is obtained:

P(22 < X < 51) = 0.2975

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