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Question 1 (a) Suppose the lifetime of ABC light bulbs follows a normal distribution with mean...

Question 1

(a) Suppose the lifetime of ABC light bulbs follows a normal distribution with mean lifetime of 800 hours and standard deviation of 60 hours. Compute the probability that a random sample of 16 light bulbs will have mean lifetime of:

(i) between 790 and 810 hours.

(ii) less than 785 hours.

(iii) more than 820 hours.

(b) A survey questionnaire was sent to 100 students. Assume the probability that any one of these students would reply is 0.2. Using the normal approximation method, solve and compute the probability of getting at least 15 replies.

Math   Statistics-And-Probability   
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