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1. Xian rolls a fair die 10 times. you have any issues or queries
The random variable X represents the number of times the die lands on a six.
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(a) Using a suitable distribution for X, find
(i) P(X = 3)
(ii) P(X < 3)
(3)
Xian repeats this experiment each day for 60 days and records the number of days
when X = 3
(b) Find the probability that there were at least 12 days when X = 3
(3)
(c) Find an estimate for the total number of sixes that Xian will roll during these 60 days.
(1)
(d) Use a normal approximation to estimate the probability that Xian rolls a total of
more than 95 sixes during these 60 days.
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(4)
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*P74093A0220*
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