The time required to assemble an electronic component is normally distributed wi

Question

The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 21 minutes and 10 minutes, respectively. Use Table 1. a. Find the probability that a randomly picked assembly takes between 13 and 22 minutes. (Round " value to 2 decimal places and final answer to 4 decimal places.) Probability b. It is unusual for the assembly time to be above 35 minutes or below 8 minutes. What proportion of assembly times fall in these unusual categories? (Round "z" value to 2 decimal places and final answer to 4 decimal places.) Proportion of assembly times eBook & Resources

Explanation / Answer

for normal distribution z score =(X-mean)/std deviaiton

a)

probability=P(13<X<22) =P((13-21)/10<Z<(22-21)/10)=P(-0.8<Z<0.1)=0.5398-0.2119 =0.3280

b)

P(X>35) +P(X<8)=1-P(8<X<35)=1-P(-1.3<Z<1.4)=1-(0.9192-0.0968)=0.1776

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