The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: x 0 1 2 3 4 5 P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05 On average, how many accidents are there in the intersection in a week? a. 5.3 b. 2.5 c. 1.8 d. 0.30 e. 0.1667

The average accidents in the intersection per week is 1.8                

Step-by-step explanation:

We are given the following in he question:

x:                0        1          2        3        4       5

P(X = x):  0.20   0.30   0.20   0.15   0.10   0.05

We have to find the number of average accidents per week.

Formula:

Thus, the average accidents in the intersection per week is 1.8

42

Step-by-step explanation:

Since 70% is just 70/100 or 0.70, you would multiply it by the 60 coffee mugs to find out how many of the coffee mugs are dirty.

Work:

60 * 0.70 = 42

This means that 42 of the coffee mugs are dirty out of the 60 coffee mugs.