7 The following frequency distribution provides a certain condition prevalence frequency distribution for 65 regions.

Condition (%) Frequency

4-under 5 9

5-under 6 14

6-under 7 19

7-under 8 14

8-under 9 6

9-under 10 2

10-under 11 1

A event that has a prevalence of at least8%

B event that has a prevalence of less than7%

C event that has a prevalence of at least5% but less than10%

D event that has a prevalence of less

a. Determine the number of outcomes(regions) that constitute the event (notC).

Event (notC) has ( ? ) regions.

11 On the right is a contingency table for active Naval militarypersonnel, cross-classified by marital status and pay grade. Complete parts(a) through(f) below.

a. Fill in the five missing entries in the contingency table.

Pay grade

EnlistedG1 Officer G2 Warrant G3. Total

Singlew/o children

M1 118,112. 13,917 78 132,107

Single with children 14,780 ( ? ) ( ? ). 16,359

M2

Joint service marriage 14,724 2,685 ( ? ) ( ? )

M3

Civilian marriage 124,974 32,033 1,422 158,429

M4

124,974

Total 272,590 ( ? ). 1,665 324,370

16 According to a researchcorporation, 42% of women in a particular region suffer from holidaydepression, and, from a populationreport, 55% of adults in this region are women. Find the probability that a randomly selected adult in this region is a woman who suffers from holiday depression. Interpret your answer in terms of percentages.

Select the correct choice below and fill in the answer boxes to complete the choice.

(Answer as an integer or decimals. Do notround.)

A. The probability is ( ? ) This means that ( ? )% of all women suffer from holiday depression.

B. The probability is ( ? )This means that ( ? ) % of all adults who suffer from holiday depression are women.

C. The probability is ( ? )This means that ( ? ) % of women in this region suffer from holiday depression.

D.The probability is ( ? ) This means that ( ? ) % of all adults in this region are women who suffer from holiday depression

8 Suppose thatA, B, and C are three events that cannot all occur simultaneously. Does this condition necessarily imply thatA, B, and C are mutuallyexclusive? Justify your answer and illustrate it with a Venn diagram.

Justify your answer. Select the correct answer below.

A. This condition implies thatA, B, and C are mutually exclusive. IfA, B, and C cannot all occursimultaneously, then none can occur simultaneously.Therefore, they must all occur at differenttimes, and so are mutually exclusive.

B. This condition implies thatA, B, and C are mutually exclusive. IfA, B, and C cannot all occursimultaneously, then every pair of events has no outcomes in common with the third event.Therefore, all events are mutually exclusive.

C. This condition does not imply thatA, B, and C are mutually exclusive. IfA, B, and C cannot all occursimultaneously, then it is still possible for two of them to occur simultaneously.Therefore, they are not necessarily mutually exclusive.

D. This condition does not imply thatA, B, and C are mutually exclusive. IfA, B, and C cannot occur allsimultaneously, then the sample space is minimized only if two of the three events are equal to each other.Therefore, they are not mutually exclusive..

10. The age distribution for politicians in a certain country is shown in the accompanying table. Suppose that a politician is selected at random. Let eventsA, B,C, and S be defined as follows. Complete parts(a) through(d) below.

A=event the politician is under 50

B=event the politician is in his or her 50s

C=event the politician is in his or her 60s

S=event the politician is under 70

Age (yr) No. of politicians

Under 50 10

50-59 27

60-69 36

70-79 15

80 and over 1

a. Use the table and thef/N rule to findP(S).

P(S)= ( ? ) (answer as an integer or a decimal. Round to three decimal places asneeded.)