Exponential probability density function

Assignment Help Basic Statistics

Reference no: EM13271123

1. Consider the following exponential probability density function.

f(x)= 1/8 e -x/8

A. Find f(x<=6)
B. f(x<=3)
C. f(x>=6)
D. f(4<x<=6)

2. Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 2 can be selected.

A. List the 10 samples beginning with AB, AC, and so on.
B. Using simple random sampling, what is the probability that each sample of size 2 is selected?
C. Suppose we used Excel RAND function to assign random numbers to the five elements...List the simple random sample size 2 that will be selected by using these random numbers.

3. Refer to the EAI sampling problem. Suppose a simple random sample of 60 managers is used.

A. Sketch the sampling distribution of x when simple random samples of size 60 are used.
B. What happens to the sampling distribution of x if simple random samples of size 120 are used?
C. What general statement can you make about what happens to the sampling distribution of x as the sample size is increased? Does this generalizations seem logical? Explain.

4. The president of Doerman Distributors Inc., believe that 30% of the firms' order come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time- customers.

A. Assume that the president is correct and p = .30. What is the sampling distribution of p for this study?
B. What is the probability that the sample proportion p will be between .20 and .40?
C. What is the probability that the sample proportion will be between .25 and .35?

Reference no: EM13271123

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