If X ~ N(5,2). Calculate P(X<6) [Draw a figure]

Q: Show that for baetween ( tana

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Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||

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Q: 5. Find the on the interval [0, 4]

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Q: The value(s) of x that satisfy In(x² + 1) – 2 In(x) = In(16) – In(8) are/is

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Q: If X~N(μ , 5), Find μ if P(X>12) = 0.02118 1.85 22.15 2.03 11.89

A: Given information X ~ N(μ, 5) P(X &gt; 12) = 0.02118 P(X&lt;12) = 1 – 0.02118 = 0.97882 Z at p=…

Q: which of the folowiny -xト! is -3x 2 へ pove seies fore =e.e e E (-)"(-3x) n ハン 0 37 B. e (3x)" nこO *ス…

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Q: If Z ~ N(0,1), compute P(Z2 < 3)

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Q: Find the product and addition of the approximate numbers x, = 32.452 and x, = 24.3595 all of whose…

A: x1=32.452 and x2=24.3595 To Find: a) Product and addition of the approximate numbers. b) Relative…

Q: Let X-Bin(5,0.5), then P(x >3|x >2) is

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Q: Suppose you are given four natural numbers w, x, y,z e N such that w>x and y > z. Show that ly – w|…

A: It is given that w, x, y, z are natural numbers such that w&gt;x and y&gt;z. Now we want to show…

Q: 27. Verify ldt ip|1| =x|x]. Hint: Consider x > 0 and x <0 separately.

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Q: Pre cout of loo Finol cout of 63 200 130 Indicidual Individual 137 Individual 3. Indiidual 56 139 17…

A: A scatterplot is a nonmathematical measure of studying the relationship between the variables. Here…

Q: It x~N(μ,σ"), then ²~. Option 2 ption 1 *** *** *** N(0, 1) G(1⁄2,2) x² (2)

A: Given, if x~Nμ,σ2 Then x-μσ2

Q: of Voots of the equation. 2x+3X+5=0 is The muttiple is Ę 2. 3 Prove That The sum

A: Use the formula for the sum and product of the roots of a quadratic equation.

Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: Let X ∼ Bin(n, p), and let Y = n − X. Show that Y ∼ Bin(n, 1 − p).

A: Here X follows Binomial with parameters n and p. Here, Y=n-X. Then Y takes the values n-0, n-1,…

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: Con sider Sam ple X,, X2,.., Xg from a NC8,4). Find the Coverage Probabilit a of interval [x-2, +2].

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Q: Let x be the number of red balls among 3 balls randomly selected from a bag containing 9  black ball…

A: Given,no.of black balls=9no.of red balls=6Total no.of balls=15

Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

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Q: Let X~ N (24, 49), Find P( 10<X< 38)

A: Given sample are: 24, 49 Mean of these samples are: μ=24+492=36.5 Standard deviation:…

Q: see the equation as attached here

A: Solution:Given    0&lt;an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: If delta is large according to Cohen's classificantion, then the difference between u1 and u0 is…

A: Given that - If delta is large according to Cohen's classificantion, then the difference between u1…

Q: If xly, then show that ||x+ y|| = ||x- y|!.

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Q: Let X-Bin(5,0.5), then P(X >3|X >2) is

A: Given information: Given that the random variable X follows binomial distribution with parameters n…

Q: Suppose that, based on your roommate's expert knowledge, you set the ROPE for O at (-5, 5). Suppose…

A: We always consider a ROPE around a null value of a parameter Here, we set ROPE for θ at (-5,5 )…

Q: Verify S Tokes' Theorem To 2.

A: Introduction: We know that stoke's theorem is given by the formula, ∮CF.dr=∬s2∇×F·n.dσ

Q: in tions Practice - Add Su 3. 3D 5.

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Q: Suppose a fair die is tossed two times. Let X be the larger of the two faces that appear. Find px…

A: Solution: From the given information, a fair die is tossed two times.

Q: (4). Show that of X~UCO,!) as Y=-n-X)~ txponenkalla),

A: i) Uniform distribution : If X follows Uniform distribution over interval (a, b ) then cumulative…

Q: Use Lemma 5.4.3 to find RT if RS 6 and VR = 4.

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Q: (a, 0) is not measurable.

A: In this question, we check the given set is measurable or not. here we use the condition of Lebesgue…

Q: In R4, let S = span{(1, 1, 1, 1)T ,(1, 2, 1, 3)T }. Find S⊥.

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Q: Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.

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Q: 5. Demonstrate that Im(iz) = Re(z).

A: It is required to demonstrate the problem 5. Problem 5 is solved below in detail.

Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

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Q: If X is uniform on [-2,2] then p(x <0) = 1 1 2

A: X is uniform on [-2,2]   a = -2,   b= 2

Q: Suppose X~N(113,18), and Z~N(0,1). Then x = 94, is equivalent to z = ______.

A: Given that, Suppose X~N(113,18), and Z~N(0,1). Here, mean μ=113 and standard deviation σ=18

Q: Suppose PRo=62 this means that 38% of observations greater than 62 %3D 80 Select one: O True False

A: Given a statement about P80. We have to choose the statement is true or false.

Q: I, Let dlP) S-a). End fIt) Sta

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Q: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A: ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

Q: 9 show Itat Ihe maclayvin Sevies For Hense is メ+ メ t.. 4- X

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Q: What are the value for sup e-* = е x>0 and inf e * - = XER

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Q: (2) Find the value of ß (,-)

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Q: A box has 10 pencils and 5 pens.  Select randomly 3 items from the box.  Let X be the number of…

A: There is two possibilities either the selected item is pencil or not. Binomial distribution will…

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? What is the smallest…

A: It is given that p and q are prime numbers. Assume that gcdp, q=d. Then, d is the greatest common…