Answer:
The probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.
Step-by-step explanation:
Let X = the number of miles Ford trucks can go on one tank of gas.
The random variable X is normally distributed with mean, μ = 350 miles and standard deviation, σ = 10 miles.
If the Ford truck runs out of gas before it has gone 325 miles it implies that the truck has traveled less than 325 miles.
Compute the value of P (X < 325) as follows:
[tex]P(X<325)=P(\frac{X-\mu}{\sigma}<\frac{325-350}{10})\\=P(Z<-2.5)\\=1-P(Z<2.5)\\=1-0.9938\\=0.0062[/tex]
Thus, the probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.
