CMI Masters in Data Science 2022 Question Paper with Solutions: 40 Questions, Answer Key & Section-wise Analysis

Let $X$ be a Binomial$(n,p)$ random variable with the probability mass function

Consider the following code, in which A is an array indexed from 0 and n is the number of elements in A.

Which of the following statements is/are true?

Let $E$ and $F$ be events such that $P(E\cap F^c)=0.2$, $P(F\cap E^c)=0.3$, $P((E\cap F{)}^c)=0.7$, where, for an event $E$, the notation $E^c$ denotes the complement of the event. Then we can conclude that

Let $A,B$ be $n\times n$ invertible matrices of real numbers. Let $C=I+A{A}^T$, $D=I+BA{A}^T{B}^T$. We can conclude that

A matrix $C$ is said to be symmetric if $C^T=C$. Which of the following is/are true? Let $A$, $B$ be $n\times n$ matrices.