Let the distribution of Y be b(25, 1/2). Find the given

Chapter 5, Problem 1E

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QUESTION:

Let the distribution of \(Y\) be \(b(25,1 / 2)\). Find the given probabilities in two ways: exactly, using Table II in Appendix B; and approximately, using the central limit theorem. Compare the two results in each of the three cases.

(a) \(P(10<Y \leq 12)\).

(b) \(P(12 \leq Y<15)\).

(c) \(P(Y=12)\).

Equation Transcription:

Text Transcription:

X

b(25, 1/2)  

P(10 < Y < or =12)  

P(12 < or = Y<15)  

P(Y=12)

Questions & Answers

QUESTION:

Let the distribution of \(Y\) be \(b(25,1 / 2)\). Find the given probabilities in two ways: exactly, using Table II in Appendix B; and approximately, using the central limit theorem. Compare the two results in each of the three cases.

(a) \(P(10<Y \leq 12)\).

(b) \(P(12 \leq Y<15)\).

(c) \(P(Y=12)\).

Equation Transcription:

Text Transcription:

X

b(25, 1/2)  

P(10 < Y < or =12)  

P(12 < or = Y<15)  

P(Y=12)

ANSWER:

Step 1 of 8

Given that,

The distribution of Y is  So, the value of n and p is 25 and  

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