William and Mary Are Going Bowling

question 75

Multiple Choice

William and Mary are going bowling. The probability that Mary scores more than 175 is 0.6, and the probability that William scores more than 175 is 0.7. Their scores are independent.
a. Find the probability that both score more than 175 .
b. Given that William scores more than 175 , the probability that Mary scores higher than William is 0.4. Find the probability that William scores more than 175 and Mary scores higher than William.

• A) a. 0.42
• b. 0.24
• B) a. 0.02
• b. 0.28
• C) a. 0.02
• b. 0.24
• D) a. 0.42
• b. 0.28

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Definitions:

Confidence Interval

A group of values, culled from sample statistical analysis, expected to cover the value of an unknown population parameter.

Sample Mean

The average value of a set of observations drawn from a population, used as an estimate of the population mean.

CDs Owned

The number or collection of compact discs (audio, data storage, or software) that an individual possesses.

Kilograms

A metric unit of mass equal to one thousand grams, commonly used to measure weight.