Consider the random variable y = the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.63 0.18 0.12 0.05 ?   (a)Only y values of 0, 1, 2, 3, and 4 have probabilities greater than 0. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.)   (e) What is the probability that the carton contains exactly 10 unbroken eggs? (Hint: What is the corresponding value of y?)   (f) What is the probability that at least 10 eggs are unbroken?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider the random variable y = the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose the probability distribution of y is as follows.
y 0 1 2 3 4
p(y) 0.63 0.18 0.12 0.05 ?
 
(a)Only y values of 0, 1, 2, 3, and 4 have probabilities greater than 0. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.)
 
(e)
What is the probability that the carton contains exactly 10 unbroken eggs? (Hint: What is the corresponding value of y?)
 
(f)
What is the probability that at least 10 eggs are unbroken?
 
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