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Suppose that 3 balls are chosen without replacement from an urn consisting of 5white and 8 red balls. Let Xi equal 1 if the ith ball selected is...

#2. Suppose that 3 balls are chosen without replacement from an urn consisting of 5white and 8 red balls. Let Xi equal 1 if the ith ball selected is white, and let it equal 0 otherwise. Give the joint probability mass function of
(a) X1, X2;                                                         (b) X1, X2, X3.
#6. A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defective ones are identified. Denote by N1 the number of tests made until the first defective is identified and by N2 the number of additional tests until the second defective is identified; find the joint probability mass function of N1 and N2.
(see attachment)

#2. Suppose that 3 balls are chosen without replacement from an urn
consisting of 5white and 8 red balls. Let Xi equal 1 if the ith ball
selected is white, and let it equal 0 otherwise. Give the joint
probability mass function of
(a) X1, X2; (b)
X1, X2, X3.
#6. A bin of 5 transistors is known to contain 2 that are defective. The
transistors are to be tested, one at a time, until the defective ones
are identified. Denote by N1 the number of tests made until the first
defective is identified and by N2 the number of additional tests until
the second defective is identified; find the joint probability mass
function of N1 and N2.

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