Assume we choose an American household at random and let the random variable X be the number of cars (including SUVs and light trucks) they own. Here is the probability model if we ignore the few households that own more than five cars. Cars (X) 0 1 2 3 4 5 P(X) 0.09 0.36 0.35 0.13 0.05 0.02 Suppose the cost of gas plummets and the price of cars drastically drops, so that every household purchases an additional 3 cars, so that now the values of X are 3, 4, 5, 6, 7, 8 with the corresponding probabilities remaining the same. What happens to the mean (expected) number of cars owned?

The mean would increase by 3

Step-by-step explanation:

The number cars and their probability is shown on the first uploaded image

The mean for the number of cars[X] owned can be mathematically represented as

         From the question we are told that each household purchased additional three cars

  Let Z be the random variable for the number of cars when the the additional car where added

     So Mathematically

                   Z  = X + 3

The mean for the number of cars[X + 3] owned can be mathematically represented as

From the above equation we can see that the mean would increase by factor of  3

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: