Answer:
The probability that a truck drives between 134 and 142 miles in a day is 0.0874.
Step-by-step explanation:
Let X = distance traveled by the truck in the delivery fleet.
The mean distance traveled is, μ = 120 miles/day and the standard deviation is, σ = 12 miles/day.
The random variable X is Normally distributed.
Compute the probability that a truck drives between 134 and 142 miles in a day as follows:
[tex]P(134<X<142)=P(\frac{134-120}{12}<\frac{X-\mu}{\sigma}<\frac{142-120}{12})\\=P(1.177<Z<1.83)\\=P(Z<1.83)-P(Z<1.17)\\=0.9664-0.8790\\=0.0874[/tex]
*Use a standard normal table.
Thus, the probability that a truck drives between 134 and 142 miles in a day is 0.0874.
