A gasoline tank for a certain car is designed to hold 17.0 gal of gas. Suppose t

Question

A gasoline tank for a certain car is designed to hold 17.0 gal of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 17 gal and standard deviation 0.2 gal. (Round all answers to four decimal places.)

What is the probability that a randomly selected tank will hold between 16.4 and 17.3 gal? P(16.4 x 17.3) =

Suppose that the distribution of net typing rate in words per minute (wpm) for experienced typists can be approximated by a normal curve with mean 60 wpm and standard deviation 25 wpm. (Round all answers to four decimal places.)

What is the probability that a randomly selected typist's net rate is between 10 and 110 wpm?

Suppose that two typists are independently selected. What is the probability that both their typing rates exceed110 wpm? Suppose that special training is to be made available to the slowest 20% of the typists.

What typing speeds would qualify individuals for this training? (Round the answer to one decimal place.) ______________ or less words per minute

Explanation / Answer

1. Here mean=17 and sd=0.2

P(16.4<x<17.3)=P(16.4-17/0.2<x<17.3-17/0.2)=P(-3<x<1.5)=0.9318

2. Mean=60 and sd=25

P(10<x<110)=P(-2<x<2)=0.9545

P(x>110)=P(x>2)=0.0228

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