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.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1