A bag contains 3 white, 2 white and 2 black balls. 4 balls are randomly
selected from bag, find the probability that
1. All the drawn balls are white when the balls are duwu with replacement 1
Mark
H. All the drawn balls are white when the balls are down without replacement
1 Mark
(b) A bag contains 3 white, 2 white and 2 black ball. Balls are randomly
selected from bag with replacement find the probability that
i. First black ball is drawn in itb druw
1 Mark
ii. First black ball is drawn in 8th draw when it is known that we black ball is
not drawn in the first 5 draws
2 Marks
ill. Third black ball is drawn in the oth draw.
1 Mark
(c) Derive the recurrence relationship of the central moments of a binomial
random variable. Also comment on slarwness and kurtosis
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Answer:
b) First black ball is Fran in
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