Question

1. The Math department at CBC has 14 full-time faculty. Four of them received degrees from WSU. If a committee of three is randomly chosen among the department members, what is the probability that no one on the committee has a degree from WSU?

a) .011

b) .670

c) .330

D) .099

2. In 2018, only 2% of new cars solds had a manual transmission. If five new cars are selected at random from those sold in 2018, find the probability that exactly one of them had a manual transmission.

a) 0.02

b) 0.98

c) 0.092

d) 0.018

e)0.00000078

Answer #1

Q.1) This is a direct application of Hypergeometric distribution.

Where, population size (N) = 14, success in population = k = 4

number of sample (n) = 3 and number of success in samples = x = 0

We want to find, P(X = 0)

Using Excel we find this probability as follows:

Excel Command : ==HYPGEOMDIST(0,3,4,14) = 0.330

=> P(X = 0) = **0.330**

**Answer : c) 0.330**

Q 2) This is a direct application of Binomial distribution,

where, n = 5 and p = 0.02

X ~ Binomial (n = 5, p = 0.02)

We want to find, P(X = 1)

=> P(X = 1) = **0.092**

Excel Command : =BINOMDIST (1, 5, 0.02, 0) = 0.092

**Answer : c) 0.092**

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 6 minutes ago

asked 10 minutes ago

asked 13 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 27 minutes ago

asked 42 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 1 hour ago