2.2.2 A Starburst candy package contains 12 individual candy pieces. Each piece is equally likely to be berry, orange, lemon, or cherry, independent of all other pieces.
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!
![2.2.2 A Starburst candy package contains
12 individual candy pieces. Each piece is
equally likely to be berry, orange, lemon, or
cherry, independent of all other pieces.
(a) What is the probability that a Star-
burst package has only berry or cherry
pieces and zero orange or lemon pieces?
(b) What is the probability that a Star-
burst package has no cherry pieces?
(c) What is the probability P[Fi] that all
twelve pieces of your Starburst are the
same flavor?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F897e15bb-d167-455d-9923-82e4a6e8bbac%2F2d3566df-4c6d-4bcb-abac-07db9d32d614%2Fgnfg2eg_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
