Each student in a pottery class is responsible for cleaning the area around his or her workspace at the end of the lesson. Each
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Answer:
Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.
Step-by-step explanation:
The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
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:
12 resistors, which means that
3 defective, which means that
4 are selected, which means that
To find an specific probability, that is, of x defectives:
Answer:
Approximately 54.54% of race happened in the first week.
Step-by-step explanation:
We are given the following in the question:
Length of bike race in three weeks = 2,200 miles
Race covered in first week = 1,200 miles
Percentage of race covered in first week =
Thus, approximately 54.54% of race happened in the first week.