The length of time (in days) required to complete a certain task is a random variable t with probability density function defined by f(t) = e- for t in [0, ∞0) 2 (a) Determine the mean of the distribution. f(t) (b) Determine the standard deviation of the distribution. (c) Find the probability (not percentage) that the time required to complete a certain task is no more than 6 days. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time required to complete a certain task is between the mean and one standard deviation above the mean. Round your answer to four decimal places as needed.

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

A:

Q: a) Suppose g then f is "b) a Supnose

A: (a) Given that, g : X to Y and f : Y to Z are functions. It is also given that, f o g : X to Z is…

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

A:

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Weekly salaries of college students in a large city are normally distributed with a mean of 650…

A: Solution-: Let, X= The weekly salaries of college students in a large city  Given: We find,…

Q: TRUE or FALSE: A\B = A when A and B are disjoint

A: Given statement ,A|B=A then A and B are disjoint

Q: What would question D-J be with this information?

A: The given table is,Total20520Total3402304301000“Since you have posted a question with multiple…

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: Prove that OfVg.dr = ] (Vfx Vg) · N ds.

A:

Q: Let A {a, b} and B = {1, 2}. Give an element of A x B x A.

A: Let M and N be two sets. The Cartesian product, M×N is the set of all possible ordered pairs with…