Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.64 0.19 0.11 0.05 ? (d) Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs. Why is this smaller than the probability in Part (c)? a. This probability is less than the probability in Part (c) because the event y = 2 is now not included. b. This probability is less than the probability in Part (c) because the proportion of eggs with any exact number of broken eggs is negligible. c. This probability is not less than the probability in Part (c) because the two probabilities are the same for this distribution. d. This probability is less than the probability in Part (c) because in probability distributions, P(y ≤ k) is always greater than P(y < k). (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?
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.64 0.19 0.11 0.05 ? (d) Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs. Why is this smaller than the probability in Part (c)? a. This probability is less than the probability in Part (c) because the event y = 2 is now not included. b. This probability is less than the probability in Part (c) because the proportion of eggs with any exact number of broken eggs is negligible. c. This probability is not less than the probability in Part (c) because the two probabilities are the same for this distribution. d. This probability is less than the probability in Part (c) because in probability distributions, P(y ≤ k) is always greater than P(y < k). (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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the
| y | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| p(y) | 0.64 | 0.19 | 0.11 | 0.05 |
?
|
(d) Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs.
Why is this smaller than the probability in Part (c)?
(e) What is the probability that the carton contains exactly 10 unbroken eggs? (Hint: What is the corresponding value of y?) ______
Why is this smaller than the probability in Part (c)?
a. This probability is less than the probability in Part (c) because the event y = 2 is now not included.
b. This probability is less than the probability in Part (c) because the proportion of eggs with any exact number of broken eggs is negligible.
c. This probability is not less than the probability in Part (c) because the two probabilities are the same for this distribution.
d. This probability is less than the probability in Part (c) because in probability distributions, P(y ≤ k) is always greater than P(y < k).
(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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