Suppose 2 batteries are randomly chosen from a bin containing 10 batteries, of w

Question

Suppose 2 batteries are randomly chosen from a bin containing 10 batteries, of which 7 are good and 3 are defective. Let x denote the number of defective batteries chosen. a. List all of the possible values of x. b. Set up the probability distribution. c. Find mu and sigma. 14. The heights of men selected from a particular population have a normal distribution with mean 68 inches and standard deviation 4 inches. Find the percentage of men in the population who are a. taller than 72 inches b. between 64 and 74 inches tall c. Suppose 25% of men in this population are taller than Ralph. How tall is Ralph? 15. If X is normally distributed with a mean of 70 and a standard deviation of 7. Find a. P(X lessthanorequalto 76) b. P

Explanation / Answer

16. a) From information given, Xbar=510, s=90, compute Z scores for Xi=530

P(X>530)=P[Z>(Xi-Xbar)/s]=P(Z>(530-510)/90]=P(Z>0.22)=0.4129

b) P(X<500)=P[Z<(500-510)/90]=P(Z<-0.11)=0.5438

c) P(495<X<515)=0.0675+0.0239=0.0914

Z1=(495-510)/90=-0.17 and Z2=(515-510)/90=0.06

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