In: Statistics and Probability
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?
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