Example 5 The yield of a variety of Farmer Jase's pumpkin patch has a probability density function: kx, 0Sx<3 f(x) = k(6 - x), 35x56 0, x <0 or x> 6 a. Find the variance b. Find the probability Pru -1 a) = 0.6, giving your answer correct to one decimal place.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question number 5
Example 5
The yield of a variety of Farmer Jase's pumpkin patch has a probability density function:
kx, 0Sx<3
f(x) = k(6 - x), 35x56
0, x <0 or x> 6
a. Find the variance
b. Find the probability Pru -1<X <u+1)
c. Find the value of a such that Pr(X > a) = 0.6, giving your answer correct to one decimal place.
Transcribed Image Text:Example 5 The yield of a variety of Farmer Jase's pumpkin patch has a probability density function: kx, 0Sx<3 f(x) = k(6 - x), 35x56 0, x <0 or x> 6 a. Find the variance b. Find the probability Pru -1<X <u+1) c. Find the value of a such that Pr(X > a) = 0.6, giving your answer correct to one decimal place.
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