According to the Centers for Disease Control and Prevention, approximately 25% of adults in the United States live with a disability. This includes disabilities affecting mobility, cognition, vision, hearing, and others. Suppose that we select a random sample of five US adults, and let x 5 the number of adults out of five that live with a disability. The methods of Section 5.2 can be used to compute the probability assignments for the x distribution.

x 0 1 2 3 4 5 P(x) 0.237 0.396 0.264 0.088 0.015 0.001

(a) Find the probability that one or more of the five adults lives with a disability. How does this number relate to the probability that none of the adults lives with a disability?

(b) Find the probability that two or more of the five adults lives with a disability.

(c) Find the probability that four or more of the five adults lives with a disability.

(d) Compute m, the expected number of adults living with a disability out of five.

(e) Compute s , the standard deviation of the number of adults living with a disability out of five.

AppendixLO1