According to Wired (June 2008), 35% of the world€™s solar energy cells are manufactured in China. Consider a random sample of 5 solar energy cells, and let x represent the number in the sample that are manufactured in China. In the next section, we show that the probability distribution for x is given by the formula,

a. Explain why x is a discrete random variable.
b. Find p(x) for x = 0, 1, 2, 3, 4 , and 5.
c. Show that the properties for a discrete probability distribution are satisfied.
d. Find the probability that at least 4 of the 5 solar energy cells in the sample are manufactured in China.

Transcribed Image Text:

(5!) (.35) (.65)x p(x)x(5-x)! where n! = (n) (n-1)(n-2) (2) (1)