#9. The number of televisions per household in the United States

varies from 0 to 5. Let the random variable x be the number of televisions per household. The

following probability distribution for the number of televisions per household is given below.

# of televisions 0 1 2 3 4 5

P(x) 0.02 0.15 0.29 0.26 0.16 0.12

(a) What is the probability a household has exactly 5 televisions?

(b) Construct the probability histogram for this set of data.

(c) What is the probability a household has at least one television?

(d) What is the probability a household has at most 3 televisions?

(e) What is the probability a household has 10 televisions?

(f) Find P(2

#2. A researcher is interested in estimating the mean length of all major league baseball games. She randomly selects 8 baseball games and records the length of each game in minutes.

Teams: League: Length Of Game

CLE-DET AL 168

CHI-BAL. AL 164

BOS-NYY. AL 202

TOR-TAM. AL 172

TEX-KC. AL 151

OAK-LAA. AL 133

MIN-SEA. AL 151

CHI-PIT. NL. 239

(a) Form a 95% confidence interval for the mean length all major league baseball games. Assume the population is normally distributed.

(b) Use clear, complete sentences to interpret the interval formed in context.

(c) What is the length of the confidence interval formed?

(d) What is the value of the margin of error for the confidence interval formed?

(e) What is the confidence level for the confidence interval formed?

#5. Consider the following four random variables:

Random Variable A is Normally Distributed with =6 and =2

Random Variable B is Normally Distributed with =10 and =3

Random Variable C is Normally Distributed with =6 and =1

Random Variable D is Normally Distributed with =0 and =1

(a) Which random variables have the same mean, but different spreads?

(b) Which random variable(s) would be centered farthest to the right?

(c) Which random variable is the standard normal curve?

(d) Which random variables have the same spread, but different means?

(e) Which random variable(s) would be symmetric?