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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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?
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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