Question

Find the indicated probability by using the complementation rule. A percentage distribution is given below for the size of families in one U.S. city. Size Percentage 2 39.9 3 24.4 4 20.1 5 10.8 6 3.3 7 1.5 A family is selected at random. Find the probability that the size of the family is 4 or more. Round results to three decimal places.
a. 0.156
b. 0.844
c. 0.357
d. 0.201

Answer 1

Answer:

The correct option is c.

Step-by-step explanation:

The percentage probability distribution is:

Size (X)      Percentage

 2                   39.9

 3                   24.4

 4                   20.1

 5                   10.8

 6                    3.3

 7                     1.5

Total             100.0

Compute the probability that the size of the family is 4 or more as follows:

P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)

              = 0.201 + 0.108 + 0.033 + 0.015

              = 0.357

Thus, the probability that the size of the family is 4 or more is 0.357.

The correct option is c.