The typical weight of a donut that you'd buy at Bronuts Bakery is 26 grams. Suppose that x is a random variable that describes the weight of a donut bought from this bakery. It turns out that the distribution of x is a normal distribution, the mean weight is μ = 26 grams and the standard deviation is a = 3 grams. Suppose that you work as a donut delivery person and you're carrying around a giant bag of these donuts. If you were to randomly pick a single donut from the bag... (a) What is P(x < 28 grams), the probability that the randomly picked donut weighs less than 28 grams? (b) What is P(x>28 grams)?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The typical weight of a donut that you'd buy at Bronuts Bakery is 26 grams. Suppose that x is
a random variable that describes the weight of a donut bought from this bakery. It turns out that
the distribution of x is a normal distribution, the mean weight is μ = 26 grams and the
standard deviation is a = 3 grams. Suppose that you work as a donut delivery person and
you're carrying around a giant bag of these donuts. If you were to randomly pick a single donut
from the bag...
(a) What is P(x < 28 grams), the probability that the randomly picked donut weighs less than
28 grams?
(b) What is P(x > 28 grams)?
Transcribed Image Text:The typical weight of a donut that you'd buy at Bronuts Bakery is 26 grams. Suppose that x is a random variable that describes the weight of a donut bought from this bakery. It turns out that the distribution of x is a normal distribution, the mean weight is μ = 26 grams and the standard deviation is a = 3 grams. Suppose that you work as a donut delivery person and you're carrying around a giant bag of these donuts. If you were to randomly pick a single donut from the bag... (a) What is P(x < 28 grams), the probability that the randomly picked donut weighs less than 28 grams? (b) What is P(x > 28 grams)?
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