The probability density function of a random variable Y is given by 24y(10+2y-0.3y²) f, (y) =- 0 < y<10 10000 0, otherwise Suppose a random sample of 40 observations is obtained from this distribution and these are denoted as Y,,Y,,…,Y40 • 40 a) Approximate the probability that the sample sum T = Ey, is between 200 and 250. i=1 b) Approximate the probability that the sample mean Y is less than 5.5.
The probability density function of a random variable Y is given by 24y(10+2y-0.3y²) f, (y) =- 0 < y<10 10000 0, otherwise Suppose a random sample of 40 observations is obtained from this distribution and these are denoted as Y,,Y,,…,Y40 • 40 a) Approximate the probability that the sample sum T = Ey, is between 200 and 250. i=1 b) Approximate the probability that the sample mean Y is less than 5.5.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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![The probability density function of a random variable Y is given by
24y(10+2y- 0.3y²)
S; (y)=<
0 < y<10
10000
0,
otherwise
Suppose a random sample of 40 observations is obtained from this distribution and these
are denoted as Y,,Y,,…,Y40 •
40
a) Approximate the probability that the sample sum T =Ey, is between 200 and 250.
i=1
b) Approximate the probability that the sample mean Y is less than 5.5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee364838-0202-4229-be38-6bfabe8a4ab0%2Fe1fd2bed-a1b9-483c-b974-d5f353f23b1b%2Ft6gqq8i_processed.png&w=3840&q=75)
Transcribed Image Text:The probability density function of a random variable Y is given by
24y(10+2y- 0.3y²)
S; (y)=<
0 < y<10
10000
0,
otherwise
Suppose a random sample of 40 observations is obtained from this distribution and these
are denoted as Y,,Y,,…,Y40 •
40
a) Approximate the probability that the sample sum T =Ey, is between 200 and 250.
i=1
b) Approximate the probability that the sample mean Y is less than 5.5.
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