According to the Food and Drug Administration, 65% of all children in the U.S. dislike vegetables. Restate probabilities using correct notation and compute. A. Suppose you randomly select a child at random. What is the probability she will dislike vegetables? B. Suppose you randomly select two children at random. i. Is the vegetable preference of one child independent of the vegetable preference of the other? EXPLAIN. What is the probability that both children will dislike vegetables? ii. C. Suppose you randomly select five children at random. i. ii. iii. What is the probability that all five will dislike vegetables? If all five dislike vegetables, how many like vegetables? EXPLAIN. What is the probability that at least one likes vegetables?
According to the Food and Drug Administration, 65% of all children in the U.S. dislike vegetables. Restate probabilities using correct notation and compute. A. Suppose you randomly select a child at random. What is the probability she will dislike vegetables? B. Suppose you randomly select two children at random. i. Is the vegetable preference of one child independent of the vegetable preference of the other? EXPLAIN. What is the probability that both children will dislike vegetables? ii. C. Suppose you randomly select five children at random. i. ii. iii. What is the probability that all five will dislike vegetables? If all five dislike vegetables, how many like vegetables? EXPLAIN. What is the probability that at least one likes vegetables?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:Problem #6 - Vegetables
According to the Food and Drug Administration, 65% of all children in the U.S. dislike vegetables.
Restate probabilities using correct notation and compute.
A. Suppose you randomly select a child at random. What is the probability she will dislike vegetables?
B. Suppose you randomly select two children at random.
i.
Is the vegetable preference of one child independent of the vegetable preference of the
other? EXPLAIN.
What is the probability that both children will dislike vegetables?
ii.
C. Suppose you randomly select five children at random.
i.
ii.
iii.
What is the probability that all five will dislike vegetables?
If all five dislike vegetables, how many like vegetables? EXPLAIN.
What is the probability that at least one likes vegetables?
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