The average time in minutes to get your car inspected with the Division of Motor Vehicles is 50 minutes. Assume you arrive just as another car begins the inspection process. However, you need to be done and on the road in 30 minutes or less to pick-up your children from school. You decide to get the car inspected at this time. What is the probability you are on time to pick-up your children

45.12%

Step-by-step explanation:

We have that l = 50

The probability density function of the exponential distribution is:

                 (1 / l) * e ^ (x * 1 / l)             l> 0

f (X = x) =              0                            otherwise

in this case X would come being the probability the road in 30 minutes or less to pick-up the children to go to school, it would come being:

P (X <= 30) = integral from 0 to 30 [1/50 e ^ (x / 50) dx]

It is integral as a result:

P (X <= 30) = (1/50) [e ^ (- x / 50) / (-1/50)]

We evaluate x = 0 up to x = 30

P (X <= 30) = (1/50) [e ^ (- 30/50) / (-1/50)] - (1/50) [e ^ (- 0/50) / (-1 / fifty)]

 P (X <= 30) = -0.5488 - (-1)

 P (X <= 30) = 0.4512

Therefore the probability is 45.12%

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.