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

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!