# Question: The following probability model shows the distribution for the number

The following probability model shows the distribution for the number of rooms in U.S. housing units.

Rooms .... Probability

One ..... 0.005

Two ..... 0.011

Three ..... 0.088

Four ..... 0.183

Five ..... 0.230

Six ..... 0.204

Seven .... 0.123

Eight or more . 0.156

(a) Verify that this is a probability model.

(b) What is the probability that a randomly selected housing unit has four or more rooms? Interpret this probability.

(c) What is the probability that a randomly selected housing unit has fewer than eight rooms? Interpret this probability.

(d) What is the probability that a randomly selected housing unit has from four to six (inclusive) rooms? Interpret this probability.

(e) What is the probability that a randomly selected housing unit has at least two rooms? Interpret this probability.

Rooms .... Probability

One ..... 0.005

Two ..... 0.011

Three ..... 0.088

Four ..... 0.183

Five ..... 0.230

Six ..... 0.204

Seven .... 0.123

Eight or more . 0.156

(a) Verify that this is a probability model.

(b) What is the probability that a randomly selected housing unit has four or more rooms? Interpret this probability.

(c) What is the probability that a randomly selected housing unit has fewer than eight rooms? Interpret this probability.

(d) What is the probability that a randomly selected housing unit has from four to six (inclusive) rooms? Interpret this probability.

(e) What is the probability that a randomly selected housing unit has at least two rooms? Interpret this probability.

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