Answer:
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.