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an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units....

an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units. To test this batch for defects, a random sample of 100 tablets is drawn (without replacement) and tested. Let X be the random variable that counts the number of defective units among the sample.

a. find the expected (mean) value, variance, and standard deviation of X

b. the probability distribution of X can be approximated with a binomial distribution. Why?  

c. Use the binomial approximation to find the approximate probability that the sample includes exactly 15 defective units.

d. Find the approximate probability that X is within 1 standard deviation of its mean value

Math   Statistics-And-Probability   
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