Probability-and-statistics Questions Set 3:
If a is a constant, then the variance of a is:
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If the mode of a dataset is 16 and the mean is 26, what is the median?
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What is the probability of getting all 3 same outcomes when a fair coin is tossed three times?
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The probability that an even number will follow an odd number when a fair dice is rolled twice is:
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If A and B are independent events, then which of the following statements is true?
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If the covariance between X and Y variables is 13, the variance of X is 16, and the coefficient of correlation is 0.6, find the variance of Y.
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If the covariance between variables X and Y is 24, and the variances of X and Y are 36 and 49 respectively, find the coefficient of correlation.
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A coin is biased so that the probability of landing on heads is 2/3. If the coin is flipped 3 times, what is the probability that the first 2 flips are heads and the 3rd flip is a tail?
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A survey determines that in a locality, 33% of people go to work by Bike, 42% go by Car, and 12% use both Bike and Car. What is the probability that a random person selected uses neither Bike nor Car?
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Husband and wife apply for two vacant positions in a company. If the probability of the wife getting selected is 3/7 and the probability of the husband getting selected is 2/3, what is the probability that neither of them will be selected?
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