The speed of cars on a stretch of road is normally distributed with an average 51 miles per hour with a standard deviation of 5.9 miles per hour. what is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?
0.43
0.50
0.51
0.57

0.57

Step-by-step explanation:

Given : The speed of cars on a stretch of road is normally distributed .

Population Mean =

Standard deviation :

Let x be the random variable that represents the speed of cars on a stretch of road .

z-score :

For x= 50.

By using the standard normal distribution table ,

The probability that a randomly selected car is violating the speed limit of 50 miles per hour :-

the 3rd on is correct

step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.