Suppose that the number of people who visit a yoga academy each day is a Poisson random variable with mean 20. Suppose further that each person who visits is, independently, girl with probability 0.5 or boy with probability 0.5. Find the joint probability that exactly 8 boys and 12 girls visit the yoga academy on any particular day.
A producer of a certain type of electronic component ships to suppliers in lots of twenty. Suppose that 60% of all such lots contain no defective components, 30% contain one defective component, and 10% contain two defective components. A lot is picked, two components from the lot are randomly selected and tested, and neither is defective. What is the probability that two defectives exist in the lot?
0.2
0.045
0.028
0.034
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The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 11 Jul 2021, in the May 2021 term, set POD21QZAQPA: 8 questions for 25 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 11 Jul 2021 Set POD21QZAQPA at a glance |
|---|---|
| Term | May 2021 term |
| Subject | Statistics for Data Science II |
| Course code | BSMA1004 |
| Questions | 8 |
| Marks | 25 |
| Duration | 120 min |
| MCQ | 4 |
| Numerical | 4 |
| Official paper | IIT M QUIZ EXAM POD21QZBQPB AN 11 July 2021 |
| Negative marking | No negative marking. |
| Updated |
