## [answered] A large company must hire a new president. The Board of Dir

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A large company must hire a new president. The Board of Directors prepares a list of five candidates, all of whom

are equally qualified. Two of these candidates are members of a minority group. To avoid bias in the selection of the

candidate, the company decides to select the president by lottery.

a. What is the probability one of the minority candidates is hired? (Round your answer to 1 decimal place.) Probability b. Which concept of probability did you use to make this estimate?

(Click to select) The chair of the board of directors says, &quot;There is a 50% chance this company will earn a profit, a 30% chance it

will break even, and a 20% chance it will lose money next quarter.&quot;

a. Use an addition rule to find the probability the company will not lose money next quarter. (Round your answer

to 2 decimal places.)

=

(Click to select) b. Use the complement rule to find the probability it will not lose money next quarter. (Round your answer to 2

decimal places.)

=

(Click to select) A National Park Service survey of visitors to the Rocky Mountain region revealed that 50% visit Yellowstone Park,

40% visit the Tetons, and 35% visit both.

a. What is the probability a vacationer will visit at least one of these attractions? (Round your answer to 2

decimal places.) Probability b. What is the probability .35 called?

(Click to select) c. Are the events mutually exclusive? (Click to select) P(A1) = .20, P(A2) = .40, and P(A3) = .40. P(B1|A1) = .25. P(B1|A2) = .05, and P(B1|A3) = .10.

Use Bayes' theorem to determine P(A3|B1). (Round your answer to 4 decimal places.) P(A3|B1) Solve the following:

a. b.

P3 9 c.

C2 7 Which of these variables are discrete and which are continuous random variables? a. The number of new accounts established by a salesperson in a year. (Click to select) b

The time between customer arrivals to a bank ATM.

. (Click to select) c. The number of customers in Big Nick?s barber shop. (Click to select) d

The amount of fuel in your car?s gas tank.

. (Click to select) e. The number of minorities on a jury. (Click to select) f. The outside temperature today. (Click to select) The U.S. Postal Service reports 95% of first-class mail within the same city is delivered within 2 days of the time of

mailing. Six letters are randomly sent to different locations.

a. What is the probability that all six arrive within 2 days? (Round your answer to 4 decimal places.)

Probability b. What is the probability that exactly five arrive within 2 days? (Round your answer to 4 decimal places.)

Probability c. Find the mean number of letters that will arrive within 2 days. (Round your answer to 1 decimal place.)

Number of letters d-1. Compute the variance of the number that will arrive within 2 days. (Round your answer to 3 decimal

places.)

Variance d-2. Compute the standard deviation of the number that will arrive within 2 days. (Round your answer to 4

decimal places.)

Standard Deviation In a binomial distribution, n = 12 and ? = .60.

a. Find the probability for x = 5? (Round your answer to 3 decimal places.) Probability b. Find the probability for x ? 5? (Round your answer to 3 decimal places.) Probability c. Find the probability for x ? 6? (Round your answer to 3 decimal places.) Probability

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