Are these correct lol?
2 answers:
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Answer:
a) For this case the random variable X follows a hypergometric distribution.
b)
c)
d)
Step-by-step explanation:
The hypergometric distribution is a discrete probability distribution that its useful when we have more than two distinguishable groups in a sample and the probability mass function is given by:
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
The expected value and variance for this distribution are given by:
a. What is the distribution of X?
For this case the random variable X follows a hypergometric distribution.
b. Compute the values for E(X) and Var(X)
For this case n=10, M=5, N=25, so then we can replace into the formulas like this:
c. What is the probability that none of the animals in the second sample are tagged?
So for this case we want this probability:
d. What is the probability that all of the animals in the second sample are tagged?
So for this case we want this probability: