The random variable x represents the number of phone calls an author receives in a day, and it has a Poisson distribution with a mean of 7.6 calls. What are the possible values of x

The possible values for the random variable would be:

X=0,1,2,3,4,.....,

All the positive natural integers.

Step-by-step explanation:

Previous concepts

Let X the random variable that represent the number of phone calls an author recieves in a day. We know that

The probability mass function for the random variable is given by:

And f(x)=0 for other case.

For this distribution the expected value is the same parameter

Solution to the problem

The posible values for the random variable would be:

X=0,1,2,3,4,.....,

All the positive natural integers.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!