A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. h)What is the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)

The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is 0.2059

Step-by-step explanation:

Let X and Y represent the lengths of two different pipes produced by the process.

Density function of X and Y is :

Expected length of 1 pipe is :

The variance of length of pipe :

To Find the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)

Hence the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is 0.2059

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.