1. Let, a1 = 7 and for n ≥ 2, an = an-1 /2 express an in terms of n.

Q: Find the value for z if P( -z < Z < z ) = 0.7427.     0.37     0.65     1.13     0.33

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Q: Suppose X~N(197,6), and Z~N(0,1). Then x = 189, is equivalent to z = ______

A: Given Information: X~N(197,6) So, mean μ=197 Standard deviation σ=6 X = 189.   Z-score or…

Q: Let W be weight in kg, taken from 1000 student and W ~ N (50,25) 1. How many students have weights…

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Q: Suppose X= N(10, 1.924)Pr(9.65 is less than or equal to X and X is less than or equal to 12.7)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of…

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Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

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Q: Suppose E={O1,O2}, and F={O1,O3}F. If Pr[E]=0.6 and Pr[F]=0.61, wha

A: From the given information,   E={O1,O2}, and F={O1,O3}F. If Pr[E]=0.6 and Pr[F]=0.61   Here, the…

Q: 2. Let, a1 = 3 and for n 2 2, an = 2am-+1, express an in terms of n. 3. Let, a1 =3, a2 = 4 and for n…

A: Note:-Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Let floor(1) + floor(1/2) + floor(1/3) + …· + floor(1/n) = ceiling(0/1) + ceiling(1/2) +…

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Q: Let, a, = 3, a2 = 4 and for n2 3, a,= 2an-1+ an-2 + n + 1, express a, in terms of n. %3D %3D %3D

A: The nth term of A.P is given by an=a+n-1d we have,  a=3,d=4-3=1an=3+n-11=2+n we get,…

Q: n is increasing, and those on w 3x + 5.

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: 3 E in (1 -) -in2 , . =-In2 =1 k2 –1 k=2

A: We will  use the limit of partial sum

Q: Let, a, = 3, a2= 4 and for n2 3, a,= 2an-1+ an-2, express a, in terms of n. %3D

A: we have the nth term of A.P is given by  an=a+n-1d here,  a=3, d=4-3=1an=3+n-11=2+n we get,…

Q: 2. Let, a1 = 3 and for n > 2, an 2an-1+1, express an in terms of n.

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: (c) Show that a permutation o E S, commutes with r if and only if the permu- tation f(o) commutes…

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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: 1. Let, a1 = 7 and for n > 2, an = "1 express an in terms of n.

A: According to our guidelines, we can solve only the first question. Please repost other questions as…

Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: For positive integers n and k (k sn+ 1), the kth term of (a + b)n is given by

A: The binomial expansion of (a+b)^n is

Q: Remind yourself what () means. For this class, we will use the convention that () = 0 if n < k or if…

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Q: Consider that: 1 + 2 + ... + n = An^2 + Bn + C  For all n and for some constant A, B and C.…

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Q: 1The land of Zoo Nearland consists of two islands, the Each year 35% of the populatiou of the East…

A: (a) given let ek and wk be the population of the east and west islands respectively to find  a…

Q: Find x for which det(A)=0 7-x -2 A = 1- x 0. 5- x The sum of the answers is....

A: See the detailed solution below.

Q: 3. Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 + an-2 -5, express a, in terms of n. %3D

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Q: 1.- Let x* be defined as one more than the number of digits in the integer x. For example, 150* = 3…

A: topic - linear equation in one variable

Q: 6- Identify the p-value for testing H0: β0 = 0 versus H1: β0 ≠ 0. Using the p-value determine…

A: From the given data of X, Y as shown below

Q: Suppose X~N(165,16), and Z~N(0,1). Then x = 173, is equivalent to z = ______. (Round your answer to…

A: Given: X~N(165,16) μ=165σ2=16Thus, σ=σ2=16=4 And X=173

Q: 1. Show that for all z1, Z2 E C, Then we have: |Z1 + z2| < ]z1]+ |z2| 2. Show that for all z1, Z2 E…

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Q: - Show that (for n = 0, 1, 2, ..) (a) F(-n, b; c; 1) = - (c-b)n (c)n

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

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Q: 4. Demonstrate that for positive integers t and Q, (t <= [V@]) is equivalent to (t x t <= Q). Show…

A: Given that t and Q are two positive integers and t≤Q To show that t×t≤Q Since from the given…

Q: 1. For an = 5n2 + 9n3 + 1, an = n2, prove or disprove: rn = O(an) (n → o)?

A: We will use the standard definition.

Q: Let, aj = 3 and for n > 2, an = 2an-1 +1, express a, in terms of n.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: For xn = 5n² + 9n³ + 1, an = en = n², prove or disprove: an = O(an) (n → 0)?

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Q: Suppose X~N(125,16), and Z~N(0,1). Then x = 141, is equivalent to z = ______. (Round your answer to…

A: For large sample n&gt;30 so, it is a z test. x~N(125,16) =125+16 = 141= x.

Q: Let, a1 = 3 and for n > 2, an = 2an-1 +1, express an in terms of n. %3D

A: We will find out the required expression in the term of n.

Q: 2. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 + 5n, express an in terms of n.

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Q: Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 +an-2 – 5, express an in terms of n.

A: We will first find the roots of characteristic equation and write general solution of homogeneous…

Q: suppose X=N(10, 1.924)Pr(X is less than or equal to 8.5)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: D. Let Find 2,-

A: We will find out the required value.

Q: 2. Let, a, = 3, a2 = 4 and for n 2 3, an= 2an-1+ an-2 + 5, express a, in terms of n.

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Q: 3 and for n > 2, an = 2an-1+5, express an in terms of n. 1. Let, a1

A: The solution is given as

Q: Suppose X~N(163,7), and Z~N(0,1). Then x = 152, is equivalent to z = ______. (Round your answer to 2…

A: Z-score: The z-score value is a numerical measurement that describes a value of the relationship to…

Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

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Q: 4 and for n > 3, an 2an-1 + an-2 + 5n, express an in terms of n %3D 2. Let, a1 = 3, a2

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Q: 8 Show that 1+2++ In S 1|+ |r2|++|rn| for any numbers r1, 22, ....

A: To show,    x1+x2+.....+xn≤x1+x2+.....xn   for any numbers  x1, x2,....., xn . Which is generalized…

Q: A culture containing 16 bacteria doubles every day. Which of the following formulas represents the…

A: topic - exponential function

Q: The Domain of f (z) is [3, 00) and range of f(z) is [2, 3], then Select one: O a. domain of f(x) is…

A: Suppose we have a function f(x) whose inverse is f-1(x). Then the domain of the inverse function…

Q: For n>2, let an=5n/n2-2 ,Determine for which n, |an| < 1

A: Given, an=5nn2-2|an|&lt;1 Use the given inequality for an and find the quadratic equation for n and…