The number of knots in a particular type of wood has a Poisson distribution with an average of 1.7 knots in 10 cubic feet of the wood. Find the probability that a 10-cubic-foot block of the wood has at most 4 knots. (Round your answer to three decimal places.)

0.972 = 97.2% probability that a 10-cubic-foot block of the wood has at most 4 knots.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

Average of 1.7 knots in 10 cubic feet of the wood.

This means that .

Find the probability that a 10-cubic-foot block of the wood has at most 4 knots.

In which

0.972 = 97.2% probability that a 10-cubic-foot block of the wood has at most 4 knots.