Probability-and-statistics Questions Set 6:
The value of probability density function is P(x) = a e-b|x|, where x belongs to (- ∞ , ∞). The value of a is
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A fair dice is tossed 2 times. The probability that the second toss results in a value higher than the first toss is:
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Let f(x) be the continuous probability density function of a random variable X. The probability that a < X ≤ b is
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The probability that a bomb dropped from a plane will strike the target is 1/5. If 6 bombs are dropped, find the probability that at least 2 will strike the target.
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If in a Binomial distribution, p is the probability of success, q is the probability of failure, and n is the number of trials, then the value of the standard deviation is:
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A company manufactures pens, and 2% of them are defective. The company sold 200 pens. Using the Poisson approximation, find the probability that only one of the pens sold will be defective.
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Two cards are drawn in succession from a pack of 52 cards without replacement. What is the probability that the first card is a Queen and the second card is a Jack but of a different suit?
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5% of the bulbs manufactured by a company are defective. The company sold 360 bulbs. Using the Poisson approximation, find the probability that only two of the bulbs sold will be defective.
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Which of the following statements about correlation is false?
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The probability that there is at least one book unpublished by author A is 0.4, and for authors B and C, the probabilities are 0.42 and 0.45 respectively. Author A wrote around 15 books, author B wrote around 25 books, and author C wrote around 30 books over a span of 10 years. Find the total number of books expected to have been published by them.
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