Hi there - I need some help understanding how to work through questions 4.72 (a-

Question

Hi there - I need some help understanding how to work through questions 4.72 (a-determining sample space) and question 4.98 (all) as posted in the photo. Thank you!

andom to constitute a jury, Suppose that you observe the nutnber of men who are chosen for the jury. Let A be the event that at least half of the 12 jurors are men, and let B be the event that at least half of the 8 women are 4.72 Jurors. From 10 men and 8 women in a pool of potential jurors, 12 are chosen at r on the jury a. Determine the sample space for this experiment. b. Find (4 or B), (A & B), and (A &(not B)), listing all the outcomes for each of those three events. c. Are events A and B mutually exclusive? Are events A and (not B)? Are events (not A) and (not B)? Explairn 4.98 Gender and Divorce. According to America's Families and Living Arrangements, published by the US Census Bureau, 51.5% of US, adults are female, 10.4% of US, adults are divorced, and 6.0 of Us. adults are divorced females. For a U.S. adult selected at random, let F = event the person is female, and D - event the person is divorced a. Obtain P(F), P(D), and P(F&D;) b. Determine P(F or D), and interpret your answer in terms of percentages. c. Find the probability that a randomly selected adult is male. (M)O 4.114 Farms. The U.S. Department of Agriculture publishes information about the U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is

Explanation / Answer

4.72)here as we are observing number of men and women in sample ;and as sample size is 12 therefore sample space for number of men =x:{ 4,5,6,7,8,9,10,11,12} (as there are 8 women so to have 12 number we need to have at least 4 men}

4.98)

a)P(F) =probability of female =0.515

P(D) =probability of divorced = 0.104

P(F & D) =probability of divorced females =0.06

b)P(F or D) =P(F)+P(D) -P( F & D)=0.515+0.104-0.06=0.559

above expression shows that 55.9% of adults are at least female or divorced

c) P(male )=1-P(female)=1-0.515 =0.485

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