In an orchard, harvested apples are randomly distributed in packets, each containing 7 fruits. The orchard had a total of 25 apples collected, and 10 fruits were considered of excellent quality. Let X be the number of optimal apples allocated to first package, which of the probability distributions would be adequate to describe the random variable X? (a) Geometric(7/25) (b) Binomial(7, 3/25) (c) Poisson(3) (d) Geometric(3/25) (e) Hypergeometric (25,10,7)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In an orchard, harvested apples are randomly distributed in packets,
each containing 7 fruits. The orchard had a total of 25 apples collected, and 10 fruits
were considered of excellent quality. Let X be the number of optimal apples allocated to
first package, which of the probability distributions would be adequate to describe the
random variable X?
(a) Geometric(7/25)
(b) Binomial(7, 3/25)
(c) Poisson(3)
(d) Geometric(3/25)
(e) Hypergeometric (25,10,7)

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