1. The manager of a supermarket collected the data of 25 customers on a certain date. Out of them 5 purchased Biscuits, 10 purchased Milk, 8 purchased Fruits, 6 purchased both Milk and Fruits.
Let B represents the randomly selected customer purchased Biscuits, M represents the randomly selected customer purchased Milk and F represents the randomly selected customer purchased Fruits.
Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions.
a) Find the probability that a randomly selected customer either purchased Biscuits or Milk.
b) Show that the events “The randomly selected customer purchased Milk” and “The randomly selected customer purchased Fruits” are independent.
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Assume that two matrices A, B are invertible. With the help of Mathematica show with one counterexample that (A B)-1 is not equal to A-1 B-1
6. Assume that two matrices A, B are invertible. With the help of Mathematica show with one counterexample that (A B)-1 is not equal to A-1 B-1
For short listing of the candidates for a job in a company in different sections based on
the cumulative percentage of the following fields.
• If cumulative percentage is more than 80% then hire in HR department.
• If cumulative percentage is less than 80% and greater than 70% then hire in
accounts department.
• If cumulative percentage is less than 70% and greater than 60% then hire in
sales department.
• If cumulative percentage is less than 60% and greater than 50% then hire in
helping staff.
The cumulative percentage will be calculated as 60% of the marks obtained in test
conducted by the company and 40% of obtained marks in interview. Total marks for the
test and interview is 200 each. Write a computer program to construct a function with
name “Selection” to calculate the cumulative percentage and then display the message
in which section the candidate is selected.
For short listing of the candidates for a job in a company in different sections based on
the cumulative percentage of the following fields.
• If cumulative percentage is more than 80% then hire in HR department.
• If cumulative percentage is less than 80% and greater than 70% then hire in
accounts department.
• If cumulative percentage is less than 70% and greater than 60% then hire in
sales department.
• If cumulative percentage is less than 60% and greater than 50% then hire in
helping staff.
The cumulative percentage will be calculated as 60% of the marks obtained in test
conducted by the company and 40% of obtained marks in interview. Total marks for the
test and interview is 200 each. Write a computer program to construct a function with
name “Selection” to calculate the cumulative percentage and then display the message
in which section the candidate is selected.