*x*–2–1012*P ( X = x )*

Compute the mean, variance, and standard deviation of *X*.

**1 points **

**1 points **

a.Var ( *X*) = 4.2625

**1 points **

Year1981198219831984198519861987198819891990Birthrate15.915.515.515.715.715.615.715.916.216.7

(The birthrate is the number of live births/1,000 population.)

Compute the mean, variance, and standard deviation of the random variable *X*.

**1 points **

Mutual Fund A

ReturnsProbability-40.280.3100.5

Mutual Fund B

ReturnsProbability-20.260.680.2

Compute (in dollars) the mean and variance for each mutual fund.

Mutual Fund B:

Mutual Fund B:

Mutual Fund B:

**1 points **

Year19951996199719981999200020012002Americans40.541.443.644.740.239.241.143

What is the standard deviation of Americans without health insurance in the period from 1995 through 2002?

**1 points **

a.At least

**1 points **

Compute the standard deviation of the maximum price (in thousands of dollars) that these buyers were willing to pay for a house. Round the answer to the nearest integer.

Maximum Price Considered, 150160170180190220250270320

**1 points **

Scores90-9980-8970-7960-6950-59Students381351

Find the mean and the standard deviation of the distribution of the given data. *Hint:* Assume that all scores lying within a group interval take the midvalue of that group.

**1 points **

Two

*P* ( – 1.36 < *Z* < 1.75 )

a.*P* (- 1.36 < *Z* < 1.75 ) = 0.0869

**1 points **

**1 points **

*P* ( *Z* > 2.31 )

a.*P* ( *Z* > 2.31 ) = 0.0084

**1 points **

**1 points **

*P* ( 0.3 < *Z* < 1.85 )

a.*P* (0.3 < *Z* < 1.85 ) = 0.3499

Three

**1 points **

**1 points **

The manager of Madison Finance Company has estimated that, because of a recession year, 5% of its 400 loan accounts will be delinquent. If the manager’s estimate is correct, what is the probability that 11 or more of the accounts will be delinquent?

**1 points **

A basketball player has a 75% chance of making a free throw. What is the probability of her making 80 or more free throws in 120 trials?

**1 points **

Colorado Mining and Mineral has 800 employees engaged in its mining operations. It has been estimated that the probability of a worker meeting with an accident during a 1-year period is .1. What is the probability that more than 80 workers will meet with an accident during the 1-year period?

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