According to the Earth Policy Institute (July 2014), 65% of the world's solar energy cells are manufactured

Question:

According to the Earth Policy Institute (July 2014), 65% of the world's solar energy cells are manufactured in China. Consider a random sample of five 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

(5!)(.65)*(.35)5–x (x!)(5 – x)! p(x) = where – 2) · . · (2)(1) and 0! n! = (n) (n – 1)(n

a. Explain why x is a discrete random variable.
b. Find p1x2 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 four of the five solar energy cells in the sample are manufactured in China.

Distribution
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