An insurance company offers its policyholder a number of different premium payment options. For a randomly selected policyholde let X = the number of months between successive payments. The cdf of X is as follows: F(x) = X< 1 0.34 1s x< 3 0.45 3s x< 4 0.49 4 s x< 6 0.84 6 s x< 12 12 < x (a) What is the pmf of X? 1 3 4 6 12 p(x) 1 (b) Using just the cdf, compute P(3 < X< 6) and P(4 < X). P(3 s Xs 6)= P(4 s X) %3D

Q: Find S f(x)dx if f(x) = [2 for x<2 [x for xz2

A:

Q: For a 3-year term insurance of 1000 on (r), you are given: i. The death benefit is payable at the…

A: Given a 3-year term insurance of 1000 on x,  i. The death benefit is payable at the end of the year…

Q: A college graduate is looking for a job. It is believed that the chance of getting a job offer after…

A: we have to find variance for geometric distribution.

Q: The data show the chest size and weight of several bears. Find the regression​ equation, letting…

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Q: Find the domain, local max/min, and inflection points (if any) of the function f(r) = r* In(x).

A:

Q: The first- and second-year enrollment values for a technical school are shown in the table below:…

A: let's analyze the enrollment values for the first and second year at the technical…

Q: The following is a list of 14 measurements. 8, -13, -3, 47, -47, 37, 69, -52, -28, 23, 27, 58, -42,…

A: From the information, There are 14 measurements given as follows: 8, –13, –3,47,–47.…

Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: d. Compute E(X) and Var(X).

A:

Q: f(x) -3x + 5 -3 く x < 0 三 -3 X = 0 -2x

A: The given function is fx=-3x+5    if  -3≤x&lt;0-3            if   x=0-2x         if    x&gt;0.…

Q: Let g be the function from S = {0,1,2,3,4} to the whole numbers W given by the formula g(x) = 10 –…

A: Given,         Let g be the function from S=0,1,2,3,4 to the whole numbers W given by         the…

Q: P(0.74<Z<2.11)

A: Let Z be the standard normal variable with parameters μ=0  and σ=1 The probability is,

Q: Using the Envelope theorem, compute the slope of the following function y=-x² +9x

A:

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.