Question 1
Naveen tosses a fair coin twice and Suman tosses another fair coin two times. Let the random variables X and Y denote the number of heads observed by Naveen and Suman respectively. Identify the correct joint PMF table of X and Y .
Question 2
Suppose X and Y are independent random variables with means 10 and 20, and variances 2 and 4, respectively. Find the value of Var( XY ).
Hint: If X and Y are independent, then X² and Y² are also independent.
0
40000
1208
Cannot be determined
Question 3
e^(−20) − e^(−24)
1 − e^(−24)
e^(−24) − e^(−20)
e^(−24)
13 more questions in this paper
Sign in with Google — it is free — to see every question with its answer and explanation, practise it in learning mode, or take it as a timed mock test.
More on the Stats 2 Quiz 1 25 Feb 2024 paper
The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 25 Feb 2024, in the January 2024 term: 16 questions for 40 marks in 120 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.
| Feature | Stats 2 Quiz 1 25 Feb 2024 at a glance |
|---|---|
| Term | January 2024 term |
| Subject | Statistics for Data Science II |
| Course code | BSMA1004 |
| Questions | 16 |
| Marks | 40 |
| Duration | 120 min |
| MCQ | 7 |
| Numerical | 8 |
| MSQ | 1 |
| Official paper | IIT M DIPLOMA AN2 EXAM QDD2 25 Feb 2024 |
| Negative marking | No negative marking. |
| Updated |