STATISTICS QUIZ

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2. f$P(ar{A})=1-P(A)f$ is the:

· A. rule of opposites

· B. rule of complements

· C. addition rule

· D. commutative rule

4. If P(A) = P(A|B), then events A and B are said to be

· A. independent

· B. mutually exclusive

· C. exhaustive

· D. complementary

9. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x	0	1	2	3	4	5
P (X=x)	0.20	0.25	0.20	0.15	0.10	0.10

What is the standard deviation of X?

· A. 3.24

· B. 2.0

· C. 1.24

D. 1.58

11. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x	0	1	2	3	4	5	6
P (X=x)	0.55	0.15	0.10	0.10	0.04	0.03	0.03

What is the expected value of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry.

12. Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer.

13. Find the mean of the distribution shown below.

X	0	1	2
P(X)	0.24	0.31	0.45

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry. Mean =

14. If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts? Place your answer, rounded to four decimal places, in the blank.

15. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

$f$A_{1}f$$ = chocolate chosen

$f$A_{2}f$$ = strawberry chosen

$f$A_{3}f$$ = vanilla chosen

f$Bf$ = ice cream on a cone

ice cream in a cup Find the probability that the ice cream was sold on a cone and was chocolate flavor. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

16. A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible? Place your answer, as a whole number—no decimal places—in the blank. For example 176 would be a legitimate entry

17. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

$f$A_{1}f$$ = chocolate chosen

$f$A_{2}f$$ = strawberry chosen

$f$A_{3}f$$ = vanilla chosen

f$Bf$ = ice cream on a cone

f$ar{B}=f$ ice cream in a cup Find the probability that the ice cream was sold in a cup and was chocolate flavor. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

18. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

$f$A_{1}f$$ = chocolate chosen

$f$A_{2}f$$ = strawberry chosen

$f$A_{3}f$$ = vanilla chosen

f$Bf$ = ice cream on a cone

f$ar{B}=f$ ice cream in a cup Find the probability that the ice cream was sold in a cup. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

19. True or False: When rolling two dice, the outcomes “doubles” and “totals 7” are mutually exclusive.

True

False

20. The expected number of tails in 500 tosses of an unbiased coin is 200.

True

False