A data set of unknown shape has a mean of 50 and a standard deviation of 10


A data set of unknown shape has a mean of 50 and a standard deviation of 10

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1)   A data set of unknown shape has a mean of 50 and a standard deviation of 10. At least what percent of values are between 30 and 70?

A.   95%

B.   75%

C.   68%

D.   Cannot be determined as distribution is unknown



2)   It has been found that the probability that a shopper at a grocery store will buy soda is 0.6. The probability that a shopper will buy chips is 0.5. The probability that a shopper will buy soda or chips is 0.8. What is the probability that a shopper will buy soda and chips?

A.   0.1

B.   0.2

C.   0.3

D.   0.4



3)   The probability of a recession next year is 0.4. Given that there is a recession there is a 0.8 probability that QT Toys will have a reduction in profits. If there is no recession the probability of reduced profits will be 0.1. What is the probability that QT toys will see a reduction in profits?

A.   0.86

B.   0.38

C.   0.32

D.   0.14



4)   27 Names have been entered into a drawing where the first prize is $500. The 2nd prize is $250. The 3rd prize is $100 and the 4th prize is $50. How many different ways can these prizes be awarded?

A.   80,730

B.   17,550

C.   421,200

D.   9,687,600

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