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Answer:
The probability that none of the meals will exceed the cost covered by your company is 0.2637.
Step-by-step explanation:
A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.
The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.
The random variable <em>X</em> follows a hyper-geometric distribution.
The information provided is:
N = 15
K = 3
n = 5
k = 0
The probability mass function of a hyper-geometric distribution is:
Compute the probability that none of the meals will exceed the cost covered by your company as follows:
Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.