Potholes on a highway can be a serious problem and are in constant need of repair. With a particular type of terrain and make of concrete, past experience suggests that there are, on the average, 2 potholes per mile after a certain amount of usage. It is assumed that the Poisson process applies to the random variable "number of potholes" (a) What is the probability that no more that one pothole will appear in a section of one mile? (b)What is the probability that no more that 4 potholes will occur in a given section of 5 miles?

answer:

for a mean of m, the poisson formula is

P(k) = e^-m *m^k/k!

a. m = 2, P(≤1) = P(0) + P(1) = e^-2(1 +2) = .4060 <

b. m = 2*5, P(≤4)  

= e^-10(1 + 10 + 10^2/2! + 10^4/4!) = .0293 <

Step-by-step explanation:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~