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ù Seare https//www.math lcom Student PlayerHomework aspx?homeworkid=44 1953457&question;!dasanushed true&clde4634967;&center; he MAT 115-ZA Elementary Statistics Fall 2017 Homework: Section 6.5 Homework Score: 0 of 1 pt 6.5.19 An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 ib and 171 Ib. The new popufation of pilots has normally 4019 (2 complete) HW Score: 7.41%, 0.67019 Question Help ne atio distributed weights with a mean of 130 ib and a standard deviation of 34 6 lb a. If a pilot is randomly selected, find the probability that his weight is between 120 tb and 171 The probabity is approximately (Round to four donal places as needed) Enter your answer in the answer box and then click Check Answer 7 2 Penining OK

Explanation / Answer

Mean is 130 and s is 34.6. z is calculated as (x-mean)/s

a) P(120<x<171) =P((120-130)/34.6<z<(171-130)/34.6) =P(-0.29<z<1.18) or P(z<1.18)-P(z<-0.29) or P(z<1.18)-(1-P(z<0.29) )

From normal distribution table we get 0.8810-(1-0.6141)=0.4951

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