# Question: Determine the value c so that each of the following

Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:

(a) f(x) = c (x2 + 4), for a: = 0, 1, 2, 3;

(b) f(x) = c(2x)(33–x), for x = 0, 1, 2.

(a) f(x) = c (x2 + 4), for a: = 0, 1, 2, 3;

(b) f(x) = c(2x)(33–x), for x = 0, 1, 2.

**View Solution:**## Answer to relevant Questions

The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function Find the probability that a bottle of this medicine will have a shell life of(a) At least 200 days;(b) ...A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of; 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the ...A continuous random variable X that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 + x)/27. Find(a) P(X < 4);(b) P(3 < X < 4).From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. Find the probability distribution for the number of green balls.Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20 second time period, is characterized by the following discrete probability function(a) ...Post your question