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.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25