the random variable x represents the number of cars per household for 1000 house

ID: 3311030 • Letter: T

Question

the random variable x represents the number of cars per household for 1000 households. answer the following questions:

a) what is the probability that a family owns at least one car?

b) what is the probability that a family owns more than two cars?

c) what is the family owns between 1 and 3 cars, inclusively?

d) find the mean number of cars owned by a family?

e) find the variance for the number of cars owned by a family. round to 4 decimal places.

f) find the standard deviation for the number of cars owned by a family , and round to 4 decimal places.

X, the number of cars in a family 0 1 2 3 4 Number of Households 35 274 541 101 49 Probabibility 35000 274000 541000 101000 49000

answer

a) 35+274=309/1000=0.309

b) 101+49=150/1000=0.15

c) 274+41+101=916/1000=0.916

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