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NMIMS – Decision Science

Decision Science

1. Consider the following data on the categories of YouTube Shorts and their views. The table shows the number of YouTube Shorts in each category that have been classified as either “High Views” (more than 1,000,000 views) or “Low Views” (1,000,000 views or less).

Category High Views Low Views
Music 50 100
Comedy 30 170
Education 20 180
Gaming 40 160
Travel 10 190
  1. What is the probability that a randomly selected YouTube Short is in the Music category?
  2. ii. What is the probability that a randomly selected YouTube Short has High Views?
  3. iii. What is the probability that a randomly selected YouTube Short has Low Views?
  4. iv. If a YouTube Short is known to be in the Comedy category, what is the probability that it has High Views?
  5. v. If a YouTube Short is known to have High Views, what is the probability that it is in the Gaming category? (10 Marks)

2. Use 4 month moving average, and 5 month moving average too.

For which moving average Mean Square Error is less? (10 Marks)

Month Total   views on  YouTube  channel
Jan-23 10484
Feb-23 10884
Mar-23 13372
Apr-23 14742
May-23 16141
Jun-23 17210
Jul-23 17303
Aug-23 18132
Sep-23 18208
Oct-23 19099
Nov-23 20936
Dec-23 21914
Jan-24 22892
Feb-24 23870
Mar-24 24848
Apr-24 25826
May-24 26803
Jun-24 27781

3. a) Use an appropriate chart to show the contribution of each category of sales with conclusion. Rahul has this channel and offers a variety of content to users. (5 Marks)

category Average Views
Music 1,200,000
Comedy 800,000
Education 600,000
Gaming 900,000
Travel 700,000

3. b) Suppose we have the duration (in seconds) of 10 YouTube Shorts videos: 120, 130, 140, 125, 135, 150, 128, 132, 142, and 155. Calculate the mean (average) duration of these videos. (5 Marks)