A test is conducted in a high-risk area during a pandemic. Of the 20 people who were tested, 7 are positive cases and 13 are negative cases. If 6 people were drawn, without replacement, what is the probability that exactly 3 are positive cases?

MATLAB: An Introduction with Applications
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Please use the Hypergeometric Probability Formula.

  1. A test is conducted in a high-risk area during a pandemic. Of the 20 people who were tested, 7 are positive cases and 13 are negative cases. If 6 people were drawn, without replacement, what is the probability that exactly 3 are positive cases?

  2. Suppose a social worker goes to a small barangay of 200 families, 12 of which are qualified to receive a cash subsidy from the government. She obtains a simple random sample of 20 of the families, without replacement. What is the probability that 3 of the families will receive a cash subsidy?
Hypergeometric Distribution
P = KC k* (N-K) C (n-k)
NC n
www.
Transcribed Image Text:Hypergeometric Distribution P = KC k* (N-K) C (n-k) NC n www.
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