1.) Consider the probability that greater than 70 out of 144 CDs will be defecti

Question

1.) Consider the probability that greater than 70 out of 144 CDs will be defective. Assume the probability that a given CD will be defective is 98%98%.

Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answer Yes or No

2.) Consider the probability that more than 97 out of 120 people will not get the flu this winter. Assume the probability that a given person will not get the flu this winter is 63%63%.

Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answer Yes or No

Explanation / Answer

Solution:-

1) P(x > 70) = 0.99999

x = 70, n = 144, p = 0.98

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 70) = 0.99999

Yes, normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

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