For any r ER, r > 0, define A, = {z € R| - r < x < ² } = (-r, ²). Compute the following unions and intersections. Use interval notation, for example [0,1), (-inf,3]. (for empty set), etc. 1. If I = {r € R | r ≥ 1} then (a) Urc Ar= (-inf,0) (b) relAr= (-1,0)

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A: Solution X1 and X2 are independent random variables then Cov(X1,X2)= Then Var(X1+X2)=Var(X1)+Var(X2)

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A: We can find the critical numbers as below.

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A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

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A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

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A: We have to find given probability.

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