18–24 25–34 35–55 55 and over Total Liked Crunchicles 54 52 22 110 238 Disliked Crunchicles 11 53 40 109 213 No Preference 9 13 11 16 49 Total 74 118 73 235 500 One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions. What is the probability that the consumer is 18–24 years of age, given that he/she dislikes Crunchicles? What is the probability that the selected consumer dislikes Crunchicles? 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!
18–24 | 25–34 | 35–55 | 55 and over | Total | |
---|---|---|---|---|---|
Liked Crunchicles | 54 | 52 | 22 | 110 | 238 |
Disliked Crunchicles | 11 | 53 | 40 | 109 | 213 |
No Preference | 9 | 13 | 11 | 16 | 49 |
Total | 74 | 118 | 73 | 235 | 500 |
One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.
What is the
What is the probability that the selected consumer dislikes Crunchicles?
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?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 10 images