Practice: Week 0: Assignment 0

Statistics and Probability is the title of a book. If each letter was carved into a block and dropped into a bag, what are the chances a person would draw either the letter A or I from the bag?

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 2 samples, Sample 1 = [13.3, 2.4, 10, 13.3, 11] and Sample 2 = [8.5, 7.1, 12.6, 11.5, 10.3]. Find the sample which has a relatively greater spread of values from the mean?

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?

Ben is the customer relation manager at a hotel. Recently, Ben has been receiving customer feedback saying that the customers had to wait too long to be served by a customer service representative. Ben decides to note down the customer's waiting time in minutes. What kind of graph would be appropriate to check the frequency distributions of customers' waiting time?

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

128 players are participating in a knockout tournament. How many games are required to decide the winner? Note: In a knockout tournament, whenever two people play, the loser is eliminated and the winner advances to the next round.

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