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Ch 6 #10: please assist with answers for a and b:\ The time required to assemble...

Ch 6 #10: please assist with answers for a and b:\ The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 22 minutes and 8 minutes, respectively. [You may find it useful to reference the z table.]


a. Find the probability that a randomly picked assembly takes between 14 and 26 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 34 minutes or below 13 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:________________________

math   Statistics-And-Probability   
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Answer #1

X ~ normal ( mu = 22, sigma = 8 )

Z score = ( x - mu ) / sigma

시 22 丁一 . 2G-22 乙く 8 6 915 _ 0 532 8 三尸丨2 > 34-22 ] 8 <13 ) : P/Z<!3-22)ミP E <-1.RS 1- P(z< 1.125 P(x 734 OR x <130 0 668 +

Proportion of Assembly = 0.1960 or 19.60%

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