A family is selected at random from the city. Find the probability that the size of the family is between 2 and 5 inclusive. Round approximations to three decimal places.

And using the table from the info we got:

And replacing we got:

Step-by-step explanation:

For this case we assume that following  table shows the distribution of family size in a certain U.S. city

Family Size Probability

 2                  0.464

 3                  0.212

 4                  0.197

 5                  0.078

 6                  0.030

 7+                0.019

We assume that X represent the random variable "family size"

And for this case we want to find this probability:

And using the table from the info we got:

And replacing we got:

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

asdasd

step-by-step explanation: