Practice: Week 0 : Assignment 0 (Non Graded)

Which of the following statements are TRUE in accordance with De Morgan’s laws for 2 given events A and B?

Determine the total number of outcomes in the sample space if 2 letters are chosen from the letters a, e, i, o, u with repetition

Given a matrix A and a scalar k, (kA)^{-1} equals

Given [x_1,x_2,x_3,...,x_n] are the possible values of a random variable X, and p_1,p_2,p_3,...,p_n be the corresponding probabilities to each value of the random variable. The mean is computed by the formula

State TRUE or FALSE Not all mutually exclusive events are exhaustive.

A manufacturing company is set up in two different locations. If the number of employees in one location are 663, and the average monthly salary for their employees is $13454, and the number of employees in the other location are 504, and the average monthly salary for their employees is $17591. Find the combined arithmetic mean of the monthly salary?

Given below is tabular data on a test conducted recently to detect a new mutant of the coronavirus.

Find the number of people who have not actually contracted the virus yet have been tested positive?

Given a pie chart that indicates the expenditure of a manufacturing organization towards various activities, what is the ratio of expenditure for the R & D department to the Marketing department?

3 natural numbers are chosen at random. What is the probability that their product yields an odd number?

The mean of the first n natural numbers is