A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable ? = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 15.0 gallons and standard deviation 0.1 gallon.
What is the probability that a randomly selected tank will hold at most 14.8 gallons?
What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons?
If two such tanks are independently selected, what is the probability that both hold at most 15 gallons?
It is given that the actual capacity of a tank follows normal distribution with mean 15.0 gallons and standard deviation 0.1 gallon.
Denote the random variable X as the capacity of a randomly selected tank.
That is, µ= 15, σ = 0.1.
Thus, X~ N (15, 0.1).
1.
The probability that randomly selected tank will hold at most 14.8 gallons is calculated as follows:
2.
The probability that randomly selected tank will hold is between 14...
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