The random variable X represents the number of cherries in a cherry puff, and has the probability distribution ƒ(4) = 0.2, ƒ(5) = 0.4, ƒ(6) = 0.3, ƒ(7) = 0.1, where f(x) is the probability that there are à cherries in the cherry puff. Find the probability that the average number of cherries in 36 cherry puffs is less than 5.5.
The random variable X represents the number of cherries in a cherry puff, and has the probability distribution ƒ(4) = 0.2, ƒ(5) = 0.4, ƒ(6) = 0.3, ƒ(7) = 0.1, where f(x) is the probability that there are à cherries in the cherry puff. Find the probability that the average number of cherries in 36 cherry puffs is less than 5.5.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:**Random Variable and Probability Distribution in Cherry Puffs**
The random variable \( X \) represents the number of cherries in a cherry puff. It follows the probability distribution:
- \( f(4) = 0.2 \)
- \( f(5) = 0.4 \)
- \( f(6) = 0.3 \)
- \( f(7) = 0.1 \)
Here, \( f(x) \) is the probability that there are \( x \) cherries in the cherry puff.
**Objective**: Find the probability that the average number of cherries in 36 cherry puffs is less than 5.5.
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