The yield of a variety of Farmer Jase’s pumpkin patch has a probability density function:
() = {
, 0 ≤ < 3
(6 − ), 3 ≤ ≤ 6
0, < 0 > 6
a. Find the variance
b. Find the probability Pr( − 1 < < + 1)
c. Find the value of a such that ( > ) = 0.6, giving your answer correct to one decimal place.
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