The number of pits in a corroded steel coupon follows a Poisson distribution with a mean of 5 pits per cm2. Let X represent the number of pits in a 1 cm2 area.

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

Find P(X = 2).

P(X = 2) = 0.0842

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.

Mean of 5 pits per cm2

This means that

Find P(X = 2).

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.