An e-commerce company records the following information for a randomly selected hour:
• 
: Number of orders received in the hour, where 
.
• 
: Number of orders returned during the hour, where 
.
The joint probability distribution of 
and 
is given below.
Based on the above data, answer the given subquestions.
What are the values of the missing probabilities 
, 
, and 
?
An e-commerce company records the following information for a randomly selected hour:
• : Number of orders received in the hour, where .
• : Number of orders returned during the hour, where .
The joint probability distribution of and is given below.
Based on the above data, answer the given subquestions.
Given that exactly one order is returned, find the probability that company received exactly two orders.
A retailer wants to determine whether the type of marketing campaign is associated with a customer's purchase decision. A random sample of 
customers is classified as follows:
The retailer wants to test whether marketing campaign and purchase decision are independent at the 
significance level.
Use the chi-square critical values at the 
significance level for selected degrees of freedom as:
Based on the above data, answer the given subquestions.
What is the value of 
test statistic?
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The IIT Madras BS Business Statistics (Business Statistics) End Term paper sat on 13 Sept 2026, in the May 2026 term: 17 questions for 50 marks in 180 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 | Business Statistics End Term 13 Sept 2026 at a glance |
|---|---|
| Term | May 2026 term |
| Subject | Business Statistics |
| Questions | 17 |
| Marks | 50 |
| Duration | 180 min |
| MCQ | 9 |
| Numerical | 6 |
| MSQ | 2 |
| Negative marking | No negative marking. |
| Updated |
