4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to have come from their elementary school. A random sample of 15 students will be taken for an interview regarding school policies. a. What is the probability that exactly 10 are from their elementary school? b. What is the probability that fewer than 3 of them are from their elementary school? c. Give the average number of students from their elementary school who were chosen in the random sample.

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Please do this typewritten only. I will upvote. Thank you. USE HYPERGEOMETRIC PROBABILITY DISTRIBUTION.

4. In one of the biggest schools in Metro Manila, 80% of their high school students are
known to have come from their elementary school. A random sample of 15 students will
be taken for an interview regarding school policies.
a. What is the probability that exactly 10 are from their elementary school?
b. What is the probability that fewer than 3 of them are from their elementary school?
c. Give the average number of students from their elementary school who were chosen
in the random sample.
(Hypergeometric Probability Distribution)
Solve all stated problems showing relevant solutions and graphs or curves
where applicable. Use the distribution given.
Transcribed Image Text:4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to have come from their elementary school. A random sample of 15 students will be taken for an interview regarding school policies. a. What is the probability that exactly 10 are from their elementary school? b. What is the probability that fewer than 3 of them are from their elementary school? c. Give the average number of students from their elementary school who were chosen in the random sample. (Hypergeometric Probability Distribution) Solve all stated problems showing relevant solutions and graphs or curves where applicable. Use the distribution given.
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