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Probability & Statistics

Homework Problem :  Represent the following data in pie graph

Posted by By SK Math Expert May 23, 2022Posted inProbability & Statistics
Represent the following data in pie graph Solution : Pie graph: Pie graph is a circular graph. Entire pie graph represents 100 percent of the whole data. Whole data is…
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Find median of the data set 2,5,7,6,1,4,3

Posted by By SK Math Expert September 28, 2021Posted inProbability & Statistics
Question : Find median of the data set 2,5,7,6,1,4,3 Solution: We know that median is the middle term of the data set if there are odd numbers of terms and…
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how to calculate mean of the data set 2,5,7,6,1,4,3

Posted by By SK Math Expert September 28, 2021Posted inProbability & Statistics
Question : Calculate mean of the data set 2,5,7,6,1,4,3 Solution : we know that mean is computed as dividing the sum of the numbers in the data set by the…
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Variance of a distribution is V. If each value of the variate be multiplied by a constant quantity k then new variance is

Posted by By SK Math Expert August 12, 2021Posted inManagement, Probability & Statistics
Question : What is new variance in the problem Solution : Let \(\mu\ \) be mean of the distribution then it’s variance V is defined as \[V=\frac{1}{n}\sum_{i=1}^{n}\left(x_i-\mu\right)^2\] If each value…
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Two integers are selected at random from 1 to 11. If sum of both is even then the probability of both integers being odd is

Posted by By SK Math Expert August 12, 2021Posted inProbability & Statistics
Question : Two integers are selected at random from 1 to 11. If  sum of both is even then the probability of both integers being odd is Solution : List…
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A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only . The probability that determinant chosen is non zero is

Posted by By SK Math Expert August 12, 2021Posted inAdvanced Math, Computer science, Probability & Statistics
Question : A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only . The probability that determinant chosen is…
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X speaks truth in 75% cases and Y in 80% cases. What is the probability that they contradict each other in stating the same fact

Posted by By SK Math Expert August 11, 2021Posted inAdvanced Math, Financial Mathematics, Management, Probability & StatisticsTags: probability
Question : X speaks truth in 75% cases and Y in 80% cases. What is the probability that they contradict each other in stating the same fact Solution : P(X…
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The mean and standard deviation (S.D) of a distribution are 20 and 4 respectively . If each item of the distribution is increased by 2 then

Posted by By SK Math Expert August 11, 2021Posted inProbability & StatisticsTags: mean median mode
Question : The mean and standard deviation (S.D) of a distribution are 20 and 4 respectively . If each item of the distribution is increased by 2 then Solution :…
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for what value of c does the following function is a probability density function of a continuous random variable?

Posted by By SK Math Expert May 9, 2021Posted inProbability & StatisticsTags: PDF and CDF of random variables
Introduction : This question for what value of c does the following function is a probability density function of a continuous random variable? belongs to probability distribution which can be…
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how to calculate following Probabilities

Posted by By SK Math Expert May 9, 2021Posted inProbability & StatisticsTags: PDF and CDF of random variables
Introduction : If probability density function of a random variable is given then how to calculate following Probabilities is given below Question : If probability density function of a random…
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