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 29 minutes and 14 minutes, respectively. Use Table 1.

a.

Find the probability that a randomly picked assembly takes between 20 and 34 minutes. (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

   Probability

b.

It is unusual for the assembly time to be above 47 minutes or below 14 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

The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 29 minutes and 14 minutes, respectively. Use Table 1.

a.

Find the probability that a randomly picked assembly takes between 20 and 34 minutes. (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

   Probability

Explanation / Answer

a. P(20<x<34)=P(20-29/14<z<34-29/14)=P(-0.64<z<0.38)=0.3869

b. P(x>47,14<x)=P(z>1.29,z<-1.07)=0.2408

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