The proportion of the stationary supply sold during the month is a beta random variable with a = 4 and ß = 2. Find the probability of selling at least 90% of the total stationary in a given month?
The proportion of the stationary supply sold during the month is a beta random variable with a = 4 and ß = 2. Find the probability of selling at least 90% of the total stationary in a given month?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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![a) The proportion of the stationary supply sold during the month is a beta random variable with
a = 4 and ß = 2. Find the probability of selling at least 90% of the total stationary in a given
month?
b) 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 function of X₁ and X₂.
ii) the probability that less than 3 heads will occur and the student will win R1 or less.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7f442cf-541d-4442-b6c8-0606c8499d0b%2F6d4c7623-87ab-43de-857e-e2c7225a07e0%2Fxspthpt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) The proportion of the stationary supply sold during the month is a beta random variable with
a = 4 and ß = 2. Find the probability of selling at least 90% of the total stationary in a given
month?
b) 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 function of X₁ and X₂.
ii) the probability that less than 3 heads will occur and the student will win R1 or less.
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