. Two dice are tossed. Let X be the smaller number of points. Let Y be the larger number of points. If both dice show the same number, say, z points, then X = Y = z. (a) Find the joint probability mass function of (X, Y ). (b) Are X and Y independent? Explain. (c) Find the probability mass function of X. (d) If X = 2, what is the probability that Y = 5?

0.05

Step-by-step explanation:

We have to find the limit of

as x tends to 100.

If we substitute 100 for x directly we get 0/0 form which is indeterminate.

Let us factorise the denominator suitable

Denominator =

Now we find common factor between numerator and denominator

Since x tends to 100 we can say sqrt x -10 is non zero.

We cancel this andfind

the expression as

Now substitute limits as x =100

Limit =

Limit is 0.05