The proportion of the stationary supply sold during the month is a beta random variable with ? = 4 and ? = 2. Find the probability of selling at least 90% of the total stationary
The proportion of the stationary supply sold during the month is a beta random variable with
? = 4 and ? = 2. Find the probability of selling at least 90% of the total stationary in a given
month?
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Suppose that an experimenter tossed three balanced coins. He defined X1, to denote the
number of heads and X2, is to denote the amount of money won on a daily lotto bet in South
Africa in the following manner. If the first head occurs on the first toss, R1 (one rand) is won. If
the first head occurs on toss 2 or on toss 3, R2 or R3 is won respectively. If no heads appear,
the R1 (that is, win −R1) is lost.
Find
i) the joint probability
ii) the probability that less than 3 heads will occur and the student will win R1 or less