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4. 2: Probability Distributions for Discrete Random Variables The probability distribution of a discrete random variable X X is a list of each possible value of X X together with the probability that X X takes that value in one trial of the experiment
Let X be a discrete random variable whose probability . . . The probability distribution of a random variable X is given as under: P (X = x) = {kx2f or x = 1,2,32kxf or x = 4, 5,60otherwise , where k is a constant Find (i) P (X ≥ 4 ) (ii) E(X) (iii) E(3X2)
4. 2 Probability Distribution of a Discrete Random Variable A probability distribution for a random variable describes how the probabilities are distributed over the random variable—in other words, the probability distribution describes the probability that the random variable takes on a specific value
Let X be a discrete random variable whose probability . . . Let X be a discrete random variable whose probability distribution is defined as follows: where k is a constant Calculate (i) the value of k (ii) E (X) (iii) Standard deviation of X
Lecture 4: Random Variables and Distributions Let X be a discrete rv with pmf f(x) and expected value μ The variance of X is: • A couple, who are both carriers for a recessive disease, wish to have 5 children They want to know the probability that they will have four healthy kids Wright-Fisher model: There are i copies of the A allele in a population of size 2N in generation t