Use the distance formula and slope formula to determine if the figure is a parallelogram J(-9,-2) K(-5,1) L(1,-4) M(-3,-7)

Hence the answers are,

a) Probability that in the past 12 months the car had more than one problem = P(X > 1) is 0.2716.

b) The Probability that in the past 12 months the car had almost two problems = P( X < 2) is 0.9160.

c) The Probability that in the past 12 months the car had zero problems = P(X= 0 ) is 0.3606.

Step-by-step explanation:

Let's take X to be the number of problems per car.

By considering the given statement, X follows a Poisson Distribution with Mean (X) = 1.02.

The Poisson probability formula is :

e Pr( X = k) = e- k! k= 0,1,2...

a)

The Probability that in the past 12 months the car had more than one problem = P(X > 1)

b)

The Probability that in the past 12 months the car had almost two problems = PX < 2)

c)

The Probability that in the past 12 months the car had zero problems = P(X= 0 )