Question

USPS claims that no more than 9% of all packages arrive at the address late. Assuming...

USPS claims that no more than 9% of all packages arrive at the address late. Assuming the binomial distribution applies, if a sample size of n = 30 packages is randomly selected, solve the following probabilities. Use Excel or StatCrunch to solve.

ROUND THE FOLLOWING ANSWERS TO FOUR (4) DECIMAL PLACES.

a. What is the probability that exactly 2 packages will be late?

b. What is the probability that 3 or less packages will be late?

c. What is the probability that 5 or more packages will be late?

Part 2

Based on the USPS problem above, what is the mean or Expected Value, E(x) in the sample of packages that will arrive late?

2.7

27

30

1.6

Part 3

Based on the USPS problem above, what is the standard deviation in the sample of packages that will arrive late?

2.46

2.70

1.57

1.64

0 0
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