LOST NEED ANSWERS

Question

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 32.8 lb

a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb.

 

I NEED TO ROUND THIS TO FOUR DECIMAL PLACES

The probability is approximately ?

 

 

Answer 1

Constance,

       First you calculate a Z score for each weight Z=(X-μ)/σ where μ=148 lbs and σ=32.8 lbs

 

I got -.24 and 1.52 you then go to a table or computer and calculate the probability that a randomly chosen pilot would have a weight between those two values. I got P(-,24<Z<1.52)=.5306

 

Hope this helps

Jim