The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 4 outages per year. What is the probability that there will be between 1 and 3 (inclusive of both) power outages in a year?

The probability that there will be between 1 and 3 is 0.4152.

Step-by-step explanation:

Let X denote the number of power outages at a nuclear power plant.

It is provided that X follows a Poisson distribution with a mean of 4 outages per year.

The probability mass function of X is:

Compute the probability that there will be between 1 and 3 as follows:

Thus, the probability that there will be between 1 and 3 is 0.4152.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is