Question

While walking from the car into your dormitory you dropped your engagement ring somewhere in the snow. The path is 30 feet long. You are distraught because the density of its location seems to be constant along this 30-foot route. a) What is the probability that the ring is within 12 feet of your car

Answer 1

0.4

Explanation:

we are required to find the probability that the ring is within 12 meters from nthe car.

we start by defining a random variable x to be the distance from the car. the car is the starting point.

x follows a normal distribution (0,30)

`f(x)=(1)/(30)`

`0<x<30`

probabilty of x ≤ 12

=
`\int\limits^a_ b{(1)/(30) } \, dx`

a = 12

b = 0

`(1)/(30) *(12-0)`

`(12)/(30) = 0.4`

therefore 0.4 is the probability that the ring is within 12 feet of your car.