Answer:
A gasoline tank for a certain car is designed to hold 14.0 gal of gas.
a)What is the probability that a randomly selected tank will hold at most 13.7 gal?
We are supposed to find
Refer the z table for p value
p value = 0.0668
So,
The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668
b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?
We are supposed to find
P(x<13.4)=P(z<-3)= 0.0013
P(x<14.3)= 0.9332
The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319
(c) If two such tanks are independently selected, what is the probability that both hold at most 14 gal?
We are supposed to find
Refer the z table for p value
p value = 0.5
So,
Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25
Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25
