The number of machine breakdowns in a month follows a Poisson distribution with a mean of 3. An insurance contract covers repairs to the machine if more than N breakdowns occur in a month. N is selected to be the highest number such that the contract will provide repairs in at least 25% of the months. Determine N.

N= 3

Step-by-step explanation:

given data

mean =  3

provide repairs at least =  25%

solution

as here for poisson distribution

P(X=k) =   ......................1

so here

P(X>n) = 0.25

and

P(X>n) =      ..............2

so

P(X>3) = 0.3528

and

P(X>4) = 0.1847

so here  

N= 3

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.