An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X 5 the number of months between successive payments. The cdf of X is as follows: F(x) 5 50 x , 1 .30 1 # x , 3 .40 3 # x , 4 .45 4 # x , 6 .60 6 # x , 12 1 12 # x a. What is the pmf of X? b. Using just the cdf, compute P(3 # X # 6) and P(4 # X).

The question is incomplete the correct question is:

An insurance company offers its policyholders a number of differentpremium payment options. For a randomly selected policyholder, letX=the number of months between successive payments. The cdf of X isas follows:

0 x<1

.30 1< x <3

F(x)= .40 3< x <4

.45 4< x <6

.60 6< x <12

1 12< x

a.) what is the pmf of x?

b.) using just the cdf, compute P(3< x <6)and P(4< x)

0.175, 0.6

Step-by-step explanation:

In statistics tics, a probability mass function (PMF) is a function that shows the probability that a discrete random variable that is exactly equal to some value. It is also referred to as the discrete density function. The probability mass function is often the primary way of defining a discrete probability distribution, and such functions exist for either scalar or multivariate random variables whose domain is discrete.

The value of the random variable that have the largest probability mass is referred to as the mode.

PMF (X) =

x=1 0.15

x=2 0.15

x=3 0.10

x=4 0.025

x=5 0.025

x=6 0.025

x=7 0.025

x=8 0.025

x=9 0.025

x=10 0.025

x=11 0.025

x=12 0.4

b.) To compute P(3< x <6) andP(4< x) using just the cdf:

P(3< x <6) = P( x <6) - P(x<3)

=P( x < 6) + P( x = 6) - P(x<3)

= 0.45 + 0.025 - 0.3 =0.175

P(4< x) = 1 - P(x < 4) = 1 - 0.4 = 0.6

answer: f = 32.2m

step-by-step explanation: that is the answer

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076