Let X denote an exponential random variable with unknown parameter λ >0 . Let Y = ζ (X > 5), the indicator that X is larger than 5. Recall the definition of the indicator function here is:

ζ(X>5)= 1 if X>5
0 if X<=5

We think of Y as a censored version of the Exponential random variable X: we cannot directly observe X, but we are able to gather some information about it in this case, whether or not X is larger than 5.).

Observe that Y is a Bernoulli random variable. Thus, the statistical model for Y can be written ({0,1}, {Ber (f (λ))} λ>0)for some function of f of λ.

What is f (λ)?

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.

1st part is 64,000,000

2nd part 500,000

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.