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Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that
Sample of 10 means that
No polymeter B which means that
17 fibers of polymeter B which means that
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B