Question

In: Statistics and Probability

A corporation has 35 manufacturing plants. Of​ these, 28 are domestic and 7 are located outside...

A corporation has 35 manufacturing plants. Of​ these, 28 are domestic and 7 are located outside of the country. Each year a performance evaluation is conducted for 6 randomly selected plants.

a. What is the probability that the evaluation will include no plants outside the​ country?

b. What is the probability that the evaluation will include at least 1 plant outside the​ country?

c. What is the probability that the evaluation will include no more than 1 plant outside the​ country?

Solutions

Expert Solution

Solution:

a. What is the probability that the evaluation will include no plants outside the country?

Answer:

Let x be the number of manufacturing plants outside the country

We have to find:

  

  

Therefore, the probability that the evaluation will include no plants outside the country is 0.2321

b. What is the probability that the evaluation will include at least 1 plant outside the country?

Answer: We have to find:

We know that

  

  

Therefore, the probability that the evaluation will include at least 1 plant outside the country is 0.7679

c. What is the probability that the evaluation will include no more than 1 plant outside the country?

Answer: We have to find here:

We know that:

Therefore, the probability that the evaluation will include no more than 1 plant outside the country is 0.6559

orchestra answered 3 years ago
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