5. Let Z ~ N(0, 1). Find z such that P(-z < Z < z) = 0.85

Q: 12. For each n € N, define A, = [0, 1+] and B₁ = [0,1]. - =1 (a) Prove that U1A,, is an interval,…

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Q: Let z(x) ~N(0,1) Prop (x > -0.56) = Prop (x ≤ -2.17) = Prop (-1.56 ≤ x ≤ 0.72) =

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Q: Let X~ N(2, 9). Compute P(1 ≤ X < 7).

A: From the provided information, Mean (µ) = 2 Variance (σ2) = 9 X~N (2, 9)

Q: g(x) = 4 (1 + (1 over x) + (1 over x2)), [-5 , 5]   a.) Find the critical numbers and points of…

A: The given function is: g(x)=41+1x+1x2 ;       -5≤x≤5

Q: 2. (a) Let A = {x = [0, 1]: x has a decimal representation not containing the digit 5.} Show that A…

A: We shall use certain results from measure theory

Q: (a) Let the interval a, b be divided into n equal sub-intervals such that a = x0 < a1 < x2 < x3…

A: From this general formula we can obtain different integration formulae by putting n=1, 2,3 etc. We…

Q: 5. Find the domain off(z-In(e*-3). Then find f-1 and its domain.

A: f(x) = ln(ex-3)The function "ln" is defined for positive numbers only.Hence, x should be such that…

Q: 2.1.1. Let f(r1, x2) = 4.012, 0 < 1 < 1, 0 < x2 < 1, zero elsewhere, be the p of X1 and X2. Find…

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Q: Let Z~ N(0, 1). Find P( - 2.4 < Z < 0.9). Submit Question

A: Solution-: In this case, Z is the standard normal random variable with μ=0 and σ=1. Mathematically,…

Q: 3. Determine the x interval(s) on which the function is increasing.

A: From the given Figure, it is observed that the graph of function has local maximum at x=-4  and…

Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)

A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 &lt; Z &lt; 2.84)=?

Q: Find the intervals on which the function is continuous. 45) 4х, f(x) = 3 -3, -x2 + 1, -1 sx < 0 0…

A: Please refer the attached image for complete solution. THANK YOU.

Q: - Expand f(x) = ;-X<XLO ~) = { ² }); ; OLXLX in F.S.

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