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Mathematics10
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Mathematics
1. What is the probability of getting a 9 exactly once in 3 throws with a pair of dice? [64/243]
2. Find the probability of guessing correctly atlest 6 of the ten answers on a true-false examination. [193/512]
3. If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a sample of 100 bulbs (a) 0, (b) 4 and (c) 5 bulbs will be defective. [0.04979,0.1680,0.1008]
4. For 10 Prussian army corps units over a period of 20 years (1875 to 1894), Table below shows the number of deaths per army corps per year resulting from the kick of a horse. Fit an appropriate distribution to the data.
X: 0 1 2 3 4
f: 109 65 22 3 1
5. In an industrial complex, the average number of fatal accidents per month is one half. What is the probability that 6 months will pass without a fatal accidents?
6. If X and Y are independent Poisson variates such that P(X = 1) = P(X = 2) and P(Y=2) = P(Y=3). Find the Variance of X-2Y. [14]
7. In a precision bombing attack there is a 50% chance that any bomb will strike the target. Two direct hits are required to destroy the target completely. How many bombs must be dropped to give a 99% chance or better of completely destroying the target? [11]
*****
Department of Mathematics
JUIT, Waknaghat
MA 104 TS7
Name: Roll No.: Date:
1. What is the probability of getting a 9 exactly once in 3 throws with a pair of dice? [64/243]
2. Find the probability of guessing correctly atlest 6 of the ten answers on a true-false examination. [93/512]
3. If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a sample of 100 bulbs (a) 0, (b) 4 and (c) 5 bulbs will be defective. [0.04979,0.1680,0.1008]
4. For 10 Prussian army corps units over a period of 20 years (1875 to 1894), Table below shows the number of deaths per army corps per year resulting from the kick of a horse. Fit an appropriate distribution to the data.
X: 0 1 2 3 4
f: 109 65 22 3 1
5. In an industrial complex, the average number of fatal accidents per month is one half. What is the probability that 6 months will pass without a fatal accidents?
6. If X and Y are independent Poisson variates such that P(X = 1) = P(X = 2) and P(Y=2) = P(Y=3). Find the Variance of X-2Y. [14]
7. In a precision bombing attack there is a 50% chance that any bomb will strike the target. Two direct hits are required to destroy the target completely. How many bombs must be dropped to give a 99% chance or better of completely destroying the target? [11]
*****
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