ana2896
15.04.2020 •
Mathematics
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?
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Ответ:
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
Ответ:
Polynomial, Degree = 2, terms = 2 and name = binomial
Solution:
Given expression:
It is a polynomial.
Highest power of t is the degree of the expression.
Degree of the given expression is 2.
5mt and t² are terms of the given expression.
It has 2 terms.
This polynomial have only two terms. Hence it is binomial.