Question

(Use computer) Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Round your final answers to 4 decimal places.)

a. P(X ≤ 20)
b. P(X = 10)
c. P(X > 30)
d. P(X ≥ 25)

(Use Computer) Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Round your final answers to 4 decimal places.)

	Probability
a. P(X ≤ 130)
b. P(X > 160)
c. P(135 ≤ X ≤ 165)
d. P(X = 130)

For a continuous random variable X, P(28 ≤ X ≤ 68) = 0.20 and P(X > 68) = 0.11. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a.	P(X < 68)
b.	P(X < 28)
c.	P(X = 68)

The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 5.8 minutes.

a.	Calculate the expected arrival time. (Round your answer to 2 decimal place.)

Expected arrival time

b.	What is the probability that an elevator arrives in less than 3.9 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

Probability

c.	What is the probability that the wait for an elevator is more than 3.9 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

Probability

Answer 1

(a)

Excel function used: "=BINOMDIST(20,110,0.19,TRUE)"

(b)

Excel function used: "=BINOMDIST(10,110,0.19,FALSE)"

(c)

Excel function used: "=1-BINOMDIST(30,110,0.19,TRUE)"

(d)

Excel function used: "=1-BINOMDIST(24,110,0.19,TRUE)"