1. Solar energy cells. 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 Y represent the number in the sample that are man- ufactured in China. In Section 4.6, we show that the prob- ability distribution for Y = y is given by the formula, (5!)(.35)'(.65)5-y P(y) where n! (y!)(5-y)! = (n)(n-1)(n-2)...(2)(1) a. Explain why Y is a discrete random variable. b. Find p(y) for y = 0, 1, 2, 3, 4, and 5. c. Show that the properties for a discrete probability dis- tribution are satisfied. d. Find the probability that at least 4 of the 5 solar energy cells in the sample are manufactured in China.
1. Solar energy cells. 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 Y represent the number in the sample that are man- ufactured in China. In Section 4.6, we show that the prob- ability distribution for Y = y is given by the formula, (5!)(.35)'(.65)5-y P(y) where n! (y!)(5-y)! = (n)(n-1)(n-2)...(2)(1) a. Explain why Y is a discrete random variable. b. Find p(y) for y = 0, 1, 2, 3, 4, and 5. c. Show that the properties for a discrete probability dis- tribution are satisfied. d. Find the probability that at least 4 of the 5 solar energy cells in the sample are manufactured in China.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. Solar energy cells. 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 Y represent the number in the sample that are man-
ufactured in China. In Section 4.6, we show that the prob-
ability distribution for Y = y is given by the formula,
(5!)(.35)'(.65)5-y
P(Y)
where n!
(у!)(5—у)!
= (n)(n-1)(n-2...(2)(1)
a. Explain why Y is a discrete random variable.
b. Find p(y) for y = 0, 1, 2, 3, 4, and 5.
c. Show that the properties for a discrete probability dis-
tribution are satisfied.
d. Find the probability that at least 4 of the 5 solar energy
cells in the sample are manufactured in China.
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