The Following Table Shows Part of the Probability Distribution for a Random

question 28

Short Answer

The following table shows part of the probability distribution for a random variable x.

$$\begin{array} { r r } \mathbf { x } & \mathbf { f x } ) \\0 & 0.2 \\1 & ? \\2 & 0.15 \\3 & ? \\4 & 0.15\end{array}$$
a. The mean of the above distribution is known to be 1.8 i.e., Ex) = 1.8). Determine f1) and f3).
b. Compute the variance and the standard deviation for the above probability distribution.

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Definitions:

Dizygotic

Referring to twins who develop from two different eggs fertilized by two different sperm, also known as fraternal twins.

Gender Selection

The practice of influencing the probability of having a child of a particular sex using various medical or natural methods.

Sex-Linked Diseases

Genetic disorders caused by abnormalities in genes on the sex chromosomes, often affecting one sex more frequently than the other.

Surrogacy

A method of assisted reproduction where a woman (the surrogate) agrees to carry and deliver a baby for another person or couple, who will become the child's parent(s) after birth.