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SE Common ISE 2024-25

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The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected is said to be the significant region.

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If on an average, two customer arrive at shopping mall per minute, what is the probability that in a given minute, exactly 3 customers will arrive?

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Suppose A an nxn matrix has all real values and it is also skew symmetric

(A^T = - A) then which of the following is/are true?

I. if n is odd then det(A) = 0

II. A is always diagonalizable

III. if n is even then det(A) = 0

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The probability of rejecting the null hypothesis when it is true is called the level of confidence.

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A failing student is passed by an examiner. This is an example of Type 2 error

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Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

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For a discrete random variable X with a finite range, knowing E(X) suffices to figure out the probability distribution of X.

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Find the expectation of a random variable X?

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In an unpaired samples t-test with sample sizes n1 = 11 and n11, the number of degrees of freedom is 21.

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If we throw two dice simultaneously, what would be the probability that we get a total of 10 or 11?
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