According to Business Week, Maternity Chic, a purveyor of designer maternity wea

Question

According to Business Week, Maternity Chic, a purveyor of designer maternity wear, sells dresses and pants priced around $150 each for an average total sale of $1,200. The total sale has a normal distribution with a standard deviation of $350. What percent of the total sales amounts will be between $1,310 and $1,400? Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as a percentage to 2 decimal places, using conventional rounding rules.

Explanation / Answer

as we know that for normal distribution z score =(X-mean)/std deviation

therefore probabilty of the total sales amounts will be between $1,310 and $1,400 =P(1310<X<1400)

=P((1310-1200)/350<Z<(1400-1200)/350)=P(0.3143<Z<0.5714)=0.7161-0.6233=0.0928

hence percent of the total sales amounts will be between $1,310 and $1,400 =9.28%

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