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A few questions in probability....
Q. 1. Two dice are rolled once. Find the probability that:
1. the numbers on two dice are different
2. the total of numbers on the two dice is at least 4
Q. 2. A pair of dice is tossed twice. If the random variable X is defined as the number of doublets, find the probability distribution of X.
Q. 3. In a factory, which manufactures nuts, machines A, B and C manufacture respectively 25%, 35% and 40% of nuts. Of their output 5, 4 and 2 per cent respectively are defective nuts. A nut is drawn at random from the product and is found to be defective. Find the probability that it is manufactured by machine B.
Q. 4. If the mean and variance of the binomial distribution are respectively 9 and 6, find the distribution.
Q. 5.8% of people in a group are left handed. What is the probability that 2 or more of a random sample of 25 from the group are left handed?
Q. 1. Two dice are rolled once. Find the probability that:
1. the numbers on two dice are different
2. the total of numbers on the two dice is at least 4
Q. 2. A pair of dice is tossed twice. If the random variable X is defined as the number of doublets, find the probability distribution of X.
Q. 3. In a factory, which manufactures nuts, machines A, B and C manufacture respectively 25%, 35% and 40% of nuts. Of their output 5, 4 and 2 per cent respectively are defective nuts. A nut is drawn at random from the product and is found to be defective. Find the probability that it is manufactured by machine B.
Q. 4. If the mean and variance of the binomial distribution are respectively 9 and 6, find the distribution.
Q. 5.8% of people in a group are left handed. What is the probability that 2 or more of a random sample of 25 from the group are left handed?
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