Four hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18–24 25–34 35–55 55 and over Total Liked Crunchicles 22 17 17 82 138 Disliked Crunchicles 24 30 25 13 92 No Preference 53 37 36 44 170 Total 99 84 78 139 400 What is the probability that the selected consumer is 35–55 years old or likes Crunchicles? If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Four hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
| 18–24 | 25–34 | 35–55 | 55 and over | Total | |
|---|---|---|---|---|---|
| Liked Crunchicles | 22 | 17 | 17 | 82 | 138 |
| Disliked Crunchicles | 24 | 30 | 25 | 13 | 92 |
| No Preference | 53 | 37 | 36 | 44 | 170 |
| Total | 99 | 84 | 78 | 139 | 400 |
What is the
If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 11 images
