Question

Standardizing Raw Scores to Find Probabilities Earlier, we asked "How likely or unlikely is a male foot length of more than 13 inches?" We were unable to solve the problem, because 13 inches didn't happen to be one of the values featured in the Empirical Rule. Now that we know about standardizing raw scores, let's use standardization and the standard normal tableto find the the probability Recall that male foot lengths have a normal distribution, with y = 11 and 6 = 1.5 inches. We want to find the probability that x is greater than 13, P(x > 13). MacBook Air 80 F2 F3 OOD F4 es . FS 11 F& F7 FB < # 3 $ 4 % 5 & 7 6 8 9 W E R T Y U

Answer 1

Solution-1:

mean=11 standard deviation=1.5

Solution-2:

z score for x=10

z=x-mean/sd

=10-11/1.5

=-0.67

answer:

z score=-0.67

Solution-3:

for x=12.5

z =12.5-11/1.5

z=1

answer: z=1

Solution-4:

P(-0.67<Z<1)=P(z<1)-P(z<-0.67)

=0.8413-(1-P(Z<0.67)

=0.8413-(1-0.7486)

=0.5899

P(10<x<12.5)=P(-0.67<Z<1)=0.5899

ANSWER:

0.5899

Solution-5:

0.5899*100=58.99%