I have true false questions.(There is no need to explain, it is enough just to write true or false.) 1)If the probability density functions of the independent random variables X and Y are defined in the set A = {(x, y): 0

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I have true false questions.(There is no need to explain, it is enough just to write true or false.)

1)If the probability density functions of the independent random variables X and Y are defined in the set A = {(x, y): 0 <x <1, 0 <y <1}, then the variables Z1 and Z2, defined as Z1 = X-Y and Z2 = Y, are also independent.

2)The average of the grades taken in an exam is thought to come from the normal distribution with μ and variance σ2. If a student's grade is between μ and μ + σ, the student's grade is B. Accordingly, the student's probability of getting a B grade is equal to the probability P (0 <Z <1).

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