# QUESTION #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 2408 raffle tickets at $5 per ticket.

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

What is the probability that Kevin will not win the cruise? Round your answer to five decimal places.

**(b)** Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? Round your answer to two decimal places.

$

Is this more or less than the amount Kevin paid for the sixteen tickets?

---Select---

less

more

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

QUESTION #2

Consider the probability distribution shown below.

*x *0 1 2

*P*(*x*) 0.25 0.30 0.45

Compute the expected value of the distribution.

Compute the standard deviation of the distribution. Round your answer to four decimal places.

QUESTION #3

A particular lake is known to be one of the best places to catch a certain type of fish. 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.

*x *0 1 2 3 4 or more

% 43% 34% 12% 10% 1%

(b) 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.

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

(d) Compute *μ*, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). Round your answer to two decimal places.

*μ* = fish

(e) Compute *σ*, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). Round your answer to three decimal places.

*σ* = fish

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