Question

# You are conducting experiments using guinea pigs as subjects. You are drawing subjects from a collection...

You are conducting experiments using guinea pigs as subjects. You are drawing subjects from a collection of 20 guinea pigs of which 12 are female and 8 are males, and once a guinea pig is used in one experiment it cannot be used in another experiment. You have already used 15 subjects, and to this point you have just chosen the guinea pigs at random without consideration of sex, but later you decided it was important to consider how many were females and how many were males. Let random variable X be the number of female guinea pigs used until now.

a.) What is the set of possible values for X?

b.) State the complete probability mass function for X.

c.) What is the probability that you have already used 12 or more of the females?

Here the total no. of pig are 20 and number of female pig is 12 and male pig is 8.

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