The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter. What is the probability that a board 3 meters in length has no flaws

So, the probability is P=0.0097.

Step-by-step explanation:

We know that the  number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter.  

We conclude that  λ=0.45.

We use the Poisson formula:

We calculate the  probability that a board 3 meters in length has no flaws. We get that k=3.

We calculate:

So, the probability is P=0.0097.

the correct answers i think are b. and d.

give me brainliest if it is correct!

answer:

a=9

step-by-step explanation: lmk if you need a explanation