Probability-and-statistics Questions Set 15:
A fair coin is tossed 4 times. What is the probability that 2 tails and 2 heads will result?
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12 persons are seated around a round table. What is the probability that two particular persons sit together?
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The average number of items sold in a shop per day is 4.8. Find the probability that on a certain day there were no items sold.
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The standard normal variate is given by:
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If the covariance between variables X and Y is 5, and the variances of X and Y are 9 and 4 respectively, find the coefficient of correlation.
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The coefficient of correlation between two variables X and Y is 0.2. Their covariance is 4. The variance of X is 9. Find the standard deviation of Y.
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If A and B are two events, then the probability of exactly one of them occurring is given by
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Two n-bit binary strings L1 and L2 are chosen randomly with uniform probability. The probability that the Hamming distance between these strings is equal to d is
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The average number of customers visiting a restaurant 'The Oaks' per day is 8.5. Find the probability that on a certain day there were no customers in the restaurant.
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Three companies A, B, and C supply 25%, 35%, and 40% of the notebooks to a school. Past experience shows that 5%, 4%, and 2% of the notebooks produced by these companies are defective. If a notebook was found to be defective, what is the probability that the notebook was supplied by A?
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