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 :-

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts