Yoplait yogurt is made using a special mixing technique to remove excess liquid. This process yields a lighter, creamer yogurt with more sugar per serving than a regular yogurt. Suppose the amount of protein, X, in a 5.3-oz serving of Yoplait mixed berry yogurt is normally distributed with mean 12 g and standard deviation 0.7 g. A 5.3-oz serving is selected at random from the assembly line. As part of quality control, if a randomly selected cup of yogurt contains between 11 and 13 g of protein, then the manufacturing process continues. Otherwise it is halted and inspected. If a cup of yogurt is randomly selcted, what is the probability the manufacturing process is allowed to continue?What is the probability that the manufacturing process is halted and inspected? P(11 < X < 13) = P((X ≤ 11) ∪ (X ≥13) =
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!
Yoplait yogurt is made using a special mixing technique to remove excess liquid. This process yields a lighter, creamer yogurt with more sugar per serving than a regular yogurt. Suppose the amount of protein, X, in a 5.3-oz serving of Yoplait mixed berry yogurt is
P(11 < X < 13) =
P((X ≤ 11) ∪ (X ≥13) =
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
