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Given a normal population whose mean is 615 and whose standard deviation is 68, find each...

Given a normal population whose mean is 615 and whose standard deviation is 68, find each of the following:

A. The probability that a random sample of 6 has a mean between 619 and 646.

Probability =

B. The probability that a random sample of 19 has a mean between 619 and 646.

Probability =

C. The probability that a random sample of 22 has a mean between 619 and 646.

Probability =

A sample of n=25n=25 observations is drawn from a normal population with μ=1020μ=1020 and σ=160σ=160. Find each of the following:

A. P(X¯>1077)P(X¯>1077)

Probability =

B. P(X¯<959)P(X¯<959)

Probability =

C. P(X¯>994)P(X¯>994)

Probability =

The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 53.2%. What is the probability that in a random sample of 570 voters, less than 49.8% say they will vote for the incumbent?

Probability =

A psychologist believes that 80% of male drivers when lost continue to drive, hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 46 male drivers and asked each what they did when lost. If the belief is true, determine the probability that less than 73% said they continue driving.

Probability =

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62.5%. What is the probability that in a random sample of 530 headache sufferers, less than 58.6% obtain relief?

Probability =

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