The number of knots in a particular type of wood has a Poisson distribution with an average of 1.6 knots in 10 cubic feet of the wood. Find the probability that a 10-cubic-foot block of the wood has at most 5 knots. (Round your answer to three decimal places.)

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 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 interval.

1.6 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 5 knots.

In which

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

n

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.