Use Table I of Appendix D to calculate the following

Chapter 15, Problem 3E

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QUESTION:

Use Table I of Appendix D to calculate the following binomial probabilities:

a. \(P(x \geq 7)\) when n = 8 and p = .5

b. \(P(x \geq 5)\) when n = 8 and p = .5

c. \(P(x \geq 8)\) when n = 8 and p = .5

d. \(P(x \geq 10)\) when n = 15 and p = .5. Also use the normal approximation to calculate this probability and then compare the approximation with the exact value.

e. \(P(x \geq 15)\) when n = 25 and p = .5. Also use the normal approximation to calculate this probability and then compare the approximation with the exact value.

Questions & Answers

QUESTION:

Use Table I of Appendix D to calculate the following binomial probabilities:

a. \(P(x \geq 7)\) when n = 8 and p = .5

b. \(P(x \geq 5)\) when n = 8 and p = .5

c. \(P(x \geq 8)\) when n = 8 and p = .5

d. \(P(x \geq 10)\) when n = 15 and p = .5. Also use the normal approximation to calculate this probability and then compare the approximation with the exact value.

e. \(P(x \geq 15)\) when n = 25 and p = .5. Also use the normal approximation to calculate this probability and then compare the approximation with the exact value.

ANSWER:

Step 1 of 7

a)  Given n = 8 and p = 0.5

     We have to find the probability

     

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