Not everyone pays the same for the price of the new super iPhone 9s, featuring t

Question

Not everyone pays the same for the price of the new super iPhone 9s, featuring three dimensional conversations. The figure illustrates a normal distribution for the prices paid for the new phone. The mean is $1500 and the standard deviation is $100. Using the rule for the normal distribution on page 803, please answer questions 1 through 8. Find the percentage of buyers that paid the price between $1500 and $1600. Must show work when possible. Partial credit applicable. Find the percentage of buyers that paid the price between $1200 and $1300. Must show work when possible. Partial credit applicable. Find the percentage of buyers that paid the price between $1300 and $1400. Must show work when possible. Partial credit applicable.

Explanation / Answer

5)for z score =(X-mean)/std deviation

hence P(1500<X<1600)=P((1500-1500)/100<Z<(1600-1500)/100)=P(0<Z<1)= 0.8413-0.5=0.3413~34.13%

6)P(1200<X<1300)=P(-3<Z<-2)=0.02275-0.00135=0.0214 ~2.14%

7)P(1300<X<1400)=P(-2<Z<-1)=0.1587-0.02275 =0.1359 ~13.59%

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