5. The monthly sales of an electronic company are approximately normally distributed with a mean of RM2.5 million and a standard deviation RM300 000. a) Find the probability that the total sales for a particular month is at least RM3 million. b) If the monthly break-even sales amount is RM1.8 million, find the probability that the total sales for a particular month will exceed this amount. c) If the company randomly take a sample of 12-month sales record, will the distribution of the 12 months' samples be approximately normal based on the Central Limit Theorem (CLT)? Justify your answer.

MATLAB: An Introduction with Applications
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Chapter: NORMAL AND SAMPLING DISTRIBUTIONS

5. The monthly sales of an electronic company are approximately normally distributed
with a mean of RM2.5 million and a standard deviation RM300 000.
a) Find the probability that the total sales for a particular month is at least RM3 million.
b) If the monthly break-even sales amount is RM1.8 million, find the probability that
the total sales for a particular month will exceed this amount.
c) If the company randomly take a sample of 12-month sales record, will the
distribution of the 12 months' samples be approximately normal based on the
Central Limit Theorem (CLT)? Justify your answer.
Transcribed Image Text:5. The monthly sales of an electronic company are approximately normally distributed with a mean of RM2.5 million and a standard deviation RM300 000. a) Find the probability that the total sales for a particular month is at least RM3 million. b) If the monthly break-even sales amount is RM1.8 million, find the probability that the total sales for a particular month will exceed this amount. c) If the company randomly take a sample of 12-month sales record, will the distribution of the 12 months' samples be approximately normal based on the Central Limit Theorem (CLT)? Justify your answer.
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