Question

A fair die is tossed.

If the resulting number is even, you add 1 to your score and get that many rupees.

If the resulting number is odd, you add 2 to your score and get that many rupees.

If X denotes the random variable counting your gain in rupees, then:

Write the probability distribution of X

Answer 1

Step-by-step explanation:

If N denotes the number of die throws and K the number of odd results, then

X=2K+1(N−K)=K+N.

K is binomially distributed with p=0.5, thus the distribution of X is binomial with p=0.5 and shifted by N