expected value of variance


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Mean and Variance of a Discrete Random Variable
Let X be a discrete random variable which can assume values x 1 , x 2 , x 3 ,x n with probabilities p 1 , p 2 , p 3 .. p n respectively then (a) Mean of X or expectation of X denoted by E(X) or m is given by (b) Variance of X denoted by s 2 is given ..
A manufacturing company has just released its shares in the market wit..
A manufacturing company has just released its shares in the market with an initial value of $15 per share. The price of the share is expected to drop by 15% during the week. What will be the value of the share at the beginning of next week? => $15.75 or $10.75 or $12.7..
The variance of the number of pages of a sample of 20 women's fitness ..
The variance of the number of pages of a sample of 20 women's fitness magazines is 62 and the variance of the number of pages of a sample of 15 sports magazines is 23. At 90% confidence level, find the F-test value and check whether variances differ significa..
The data shows the deaths related to bad weather over 6 years. Find th..
The data shows the deaths related to bad weather over 6 years. Find the F-test value and verify whether the variances differ at 90% confidence level. => 7.68, differ or 9.33, do not differ or 5.05, differ or 4.96, do not differ..
A researcher claims that the variance of temperatures recorded at diff..
A researcher claims that the variance of temperatures recorded at different locations of 2 cities differ in a particular month. If the variance of temperature recorded at 25 locations of city 1 in that month is 32.5 and that of 16 locations of city 2 is 39, then find the F-..
A Math professor claims that the variance of the number of students at..
A Math professor claims that the variance of the number of students attending his guest lectures in two universities do not differ. The variance of the number of students attending 15 guest lectures in a university is 96 and 20 lectures in another university is 60. Find the crit..
The variance corresponding to the number of fruits sold by two fruit v..
The variance corresponding to the number of fruits sold by two fruit vendors in 16 and 13 days respectively are 12 and 6.5. Find the critical value at 90% confidence and check if variance of the fruits sold by the first vendor is greater than that by the other one. => ..
A statistician wishes to see whether the variance of the number of pas..
A statistician wishes to see whether the variance of the number of passengers traveling from a particular city to city 1 is different from that to city 2. On observation, it is found that the variance of the number of passengers traveling to city 1 is 250.6 for 30 days and that ..
The number of best friends for a sample of 10 students in third and in..
The number of best friends for a sample of 10 students in third and in seventh grade are shown in the table. Find the F-test value and verify whether the variances differ at 90% confidence level. => 1.91, do not differ or 3.18, do not differ or 0.524, differ or 1.91, differ..
Find the critical value of the chi-square test for a variance with 20 ..
Find the critical value of the chi-square test for a variance with 20 degrees of freedom, at α = 0.05 and test is right tailed. => 30.144 or 31.410 or 10.117 or 10.851..
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