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Just question 5. d. (4pts) Compute the probability that a section\'s exam averag

ID: 3340649 • Letter: J

Question

Just question 5.

d. (4pts) Compute the probability that a section's exam average will exceed ) two decimal points). Be sure to represent this probability in the distribubion completely label the graph) 13 poirts below (and Calculator formula or -score if using table) 83) 5. For a certain candy, 10%ofthe and the rest are brown. pieces are yellow, 15% are red, 20% are blue, 25% are green, a. If you pick a piece at random, what is the probability that it is. i. brown? i. yellow or blue? ii. not red? b. Assume you have an infinite supply of these candy pieces from which to draw. If you randomly pick four pieces in a row, what is the probability that.. i. they are all green? i. none are green? ili. exactly two are green? iv. at least one is green? 3 of 5

Explanation / Answer

5)

a) i) P(brown) = 1 - (P(yellow) + P(red) + P(blue) + P(green))

                       = 1 - (0.1 + 0.15 + 0.2 + 0.25)

                       = 0.3

ii) P(yellow or blue) = P(yellow) + P(blue) = 0.1 + 0.2 = 0.3

iii) P(not red) = 1 - P(red) = 1 - 0.15 = 0.85

b) i) P(all 4 are green) = 0.254 = 0.0039

ii) P(none are green) = (1-0.25)4 = 0.3164

iii) P(exactly 2 are green) = 4C2 * 0.252 * 0.752 = 0.2109

iv) P(at least one is green) = 1 - P(none are green) = 1 - 0.3164 = 0.6836