Quiz Space

Statistics for Data Science I · End Term · 21 Dec 2025 · September 2025 term

Question 4: The probability mass function of a discrete random variab…

Question 4

+4 marksWritten answer

The probability mass function of a discrete random variable X is given by

Find the value of such that . Enter the answer correct to one decimal place.

The probability mass function of a discrete random variable X is given by
Show answer

A written answer, not marked automatically.

See the whole paperTake it as a mock test

Question 4 of 16 in the IIT Madras BS Statistics for Data Science I (Stats 1) End Term paper sat on 21 Dec 2025, in the September 2025 term (Statistics1 18 Dec 25). It carries 4 marks.

More questions from this paper

  1. Q1Find the value of .
  2. Q2Find the value of . Enter the answer correct to two decimal place.
  3. Q3The number of customer arriving at a bank counter follows a Poisson distribution with an average of 4 arrivals per hour…
  4. Q5A random variable represents the number of packages delivered by a courier company in a day. The cumulative distributio…
  5. Q6Suppose is a binomial random variable with parameters and . Define a new random variable . Based on the above data, ans…
  6. Q7Suppose is a binomial random variable with parameters and . Define a new random variable . Based on the above data, ans…
  7. Q8A box contains 3 red balls and 3 blue balls. A student randomly picks 3 balls without replacement. Let be the random va…
  8. Q9Consider the dataset 4, 7, 5, 3, 9. If 3 is added to all observations, what is the percentile of the new dataset?
  9. Q10Based on the information given in Table 3, choose the correct option regarding the correlation coefficient between hour…
  10. Q11Which of the following options is(are) correct?
  11. Q12At a seminar, there are 30 participants, consisting of 20 men and 10 women. • Each man shakes hands only with other men…
  12. Q13There are two bags, Bag A and Bag B. Bag A contains 2 red balls and 1 blue ball, while Bag B contains 1 red ball and 2 …
  13. Q14The median of the data set is . What is the median of the transformed dataset ?
  14. Q15Suppose that a continuous random variable is uniformly distributed between and . The value of mean and variance of are …
  15. Q16Suppose is a binomial random variable with parameters and . Define a new random variable . Based on the above data, ans…