1The college student senate is sponsoring a spring break Car

1.The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2272 raffle tickets at $5 per ticket.

(a) Kevin bought thirty-five tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)

(b) How much did Kevin effectively contriute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)

2. Movie stars and U.S. presidents have fished Pyramid Lake. It is one of the best places in the lower 48 states to catch trophy cutthroat trout. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.

(a) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.)

3. What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.

7%

(c) Compute the expected income of a super shopper. (Round your answer to two decimal places.)
=  thousands of dollars

(d) Compute the standard deviation for the income of super shoppers. (Round your answer to two decimal places.)
=  thousands of dollars

4. What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon.

(c) Compute the expected age of a super shopper. (Round your answer to two decimal places.)
= ? yr

(d) Compute the standard deviation for ages of super shoppers. (Round your answer to two decimal places.)
= ? yr

5. Before 1918, approximately 55% of the wolves in the New Mexico and Arizona region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.)

(a) Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?
  

What is the probability that 8 or more were female?
  

What is the probability that fewer than 5 were female?
  

(b) For the period from 1918 to the present, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?


What is the probability that 8 or more were female?


What is the probability that fewer than 5 were female?

6. Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 70% of the business days it is open. Estimate the probability that the store will gross over $850 for the following. (Round your answers to three decimal places.)

(a)more than 17 out of the next 20 business days

7. Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in USA Today. According to the survey, 44% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability of the following.

(a) Out of five adults, none is concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)


(b) Out of five adults, all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)


(c) Out of five adults, exactly three are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

8. In the binomial probability distribution, let the number of trials be n = 3, and let the probability of success be p = 0.2662. Use a calculator to compute the following.

(a) The probability of two successes. (Round your answer to three decimal places.)


(b) The probability of three successes. (Round your answer to three decimal places.)


(c) The probability of two or three successes. (Round your answer to three decimal places.)

Solution

I am going to answer all parts of the first question here. Please ask all questions seperately.

1.

a.

There are a total of 2272 raffle tickets. And kevin has 35 of them . So the probability that kevin will win the spring break caribbean cruise is 35/2272 = 0.01540

b.

Kevin\'s expected earnings = 0.01540*$2000 = $30.81

Kevin\'s effective contribution will be 35*$5 - expected earnings. = $144.19