Score 04 of 1 pt 15 of 15 14 complete HW Score 4767 715 of 1

Score: 0.4 of 1 pt 15 of 15 (14 complete) HW Score: 47.67%, 7.15 of 15 pt 5.3.32 E Question Help According to a poll. Bbout 18% of adults in B oountry bet on professional sports. Data indicates that 46.8% of the adult population in this country is male. Complete parts (a) through (e). (a) Are the events \"male\" and \"bet on professional sports mutually exclusive? Explain No. A person can be both male and bet on professional sports at the same time. Yes. A person cannot be both male and bet on professional sports at the same time. No. A person cannot be msle and bet on professional sports at the same time D Yes. A person can be both male Bnd bet on professional sports at the same time, (b) Assuming that betting is independent of gender. compute the probability that an adult from this country selected at random is a male and bets on professional P(male and bets on professional sports) 0.0844 Type an integer or decimal rounded to four decimal places as needed.) (c) Using the result in part (b) compute the probability that an adultfrom this country selected at random is male or bets on professional sports. P(male or bets on professional sports) 0.5646 IType an integer or decimal rounded to four decimal places as needed.) (d) The poll data indicated that 10.0% of adults in this country are males and bet on professional sports. What does this indicate about the assumption in part (b)? The sssumption was correct and the events are independent Ma The assumption was inoorrect and the events are not independent (e) How will the information in part (d) affect the probability you computed in part (e)? Select the correct choice below und fill in any answer boxes within your choice PImales or bets on professional sports) O 5400 Question is complete Move your pointer over or tap on the red indicators to see incomect answers, All parts showing Similar Exercise

Solution

1) option I

2) P(male and bets on prof sports) =0.18(0.469) =  0.0844

3) P(male or bets) = 0.18+0.469-0.0844 = 0.5646

4) 0.109 differes from our answer by 0.0844

The difference = 0.109-0.0844 = 0.0246

Difference is not much hence if information is inadequate our assumption is right

5) P(male or bets) = 0.18+0.469-0.0844 = 0.5400

As already mentioned the diffrence is 0.02 hence can be neglected to predict the values in the case of information not given.