Let X ~ N(10, 16). Find a bound on p(5.5 < X < 14.5). O 0.4513 O 0.5487 0.2099 0.7901 O None

Q: let ζ ∈ N (10.2) calculate P (ζ ≥ 7.5) and determine E (2 ζ2 - 200)

A: #Given: z follow normal distribution with mean mu=10 and standard deviations=2  1): to find…

Q: Let a, b be real numbers such that la], [b] >k> 0. Show that la - bl k² a ≤

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Q: Find P (-1.5 < or equal to Z < 0.2) where Z ~ N (0,1)

A: We will use Standard Normal table to find the required probability.

Q: Let X - U[10, 30] and A = {x < 15}. 1. P(A) = 2. E(X|A) =

A: Given: X~U10, 30 and A=x≤15

Q: x₁ [n] = (0.2, for 0 ≤ n ≤ 5n (1, for - 4 ≤ n ≤ −1

A: Given Information:To draw:The graph of the discrete function.Concept used:A discrete function is a…

Q: let X1, X2, ..... XN Find UMVUE for 0² N(0,1) 0 € (-∞0,00)

A: Dear student, If you find this solution helpful please upvote ? it.

Q: TRUE OR FALSE  x and y are POSITIVE integers.

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Q: Find all the values of t so that 9eBt > 0. Ot≥0 00 21/1/20 Ot< 1/1/2 9 -00 < t < 00

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Q: Let X-Uni(60,90) find P(x <= 75) 1 none O 0.7 0.5

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Q: 14 ya 40051941077-7489-20ANY 12.33 12

A:

Q: Show that for all x, e* > 1 +x.

A: It is given that, ex≥1+xwe have to show that for all x.

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: Show that it is not true that for every error 1/m there exists n such that |Ek=1 polt – r/(1 - r)| <…

A: We will show that for every m there does not exist any unique n that works for all r in (0,1)

Q: In a test of hypothesis, the null hypothesis is that the population proportion is equal to 0.68, and…

A: From the provided information,

Q: Using the Mean Value Theorem, we can prove that a. 2* > 1+ xln2 for all x > 0 b. 2* 0 c. 2* =…

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Q: Find all the values of t so that 8et > 0. O-∞ 21/1/2 8 Otzo

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Q: Here is a set of data. 15 324 352 360 364 392 621 622 707 727 792 838 Identify the 5 number summary…

A: To identify the 5 number summary for the given data: 15, 324, 352, 360, 364, 392, 621, 622, 707,…

Q: Use Simpsons 1/3 rule to evaluate of e-x2 over the interval 0.2 to 1.5 using 6 segments ?

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Q: 1 2. Let e =. Determine the smallest choice of N > 0 such that N. 6 ' n(n + 1)

A: To determine the smallest choice.

Q: 00 Σ n=2 In n 2 n

A: Note:- As per the guidelines we are supposed to attempt only one question so please upload the next…

Q: Let X~ N(20,9). Find P(X < 23) Select one 0 1587 b 0 *c08413 P. d 05398

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Q: There is one male baby seal for every nine female baby seals. Let X be the number of male baby seals…

A: Let p=P(male baby seal) = 1/9 Here n=5 Note that X follows a Binomial distribution with n=5 and…

Q: et H={Φ∈Sn | Φ(n)=n}. Find index of H in Sn.

A: H=ϕ|ϕ(n)=n=I (group of identity permutation)o(H)=1o(Sn)=n!index of H in Sn=n!1=n!

Q: Let X-N(65,36) P(x> 55) = O 0.5232 none O 0.9525 0.98077

A:

Q: Prove that T S. Prove that S £ T.

A:

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: Let s = {x €N : 2 < x < 9} and T = {x eN : 5 s x < 14}. Then snT = {x €N : 5s x < 9}. Select one: O…

A: We have to choose the correct option.

Q: Prove that In (1tx) Lx for without using the value the orem. mean

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Q: 4. Let n be a positive even integer. (a) a for all æ E {0, 1}"? Justify your answer. How many…

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Q: 6.3.6 For each real number x, let Ay = {3, –2} U {y E R : y > x}. Find U Ax and N Ax. xER xER

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Q: 4x + 4 f(x) = {√ √²/√x + √// 0<x< 7/7/20 X 4 0 otherwise x < <0

A: To find the quantile and cumulative distribution function (CDF) for the given probability density…

Q: (8) Let p = 7. Compute the index of a with respect to the primitive root g = 5 for a 1, 2, 3, 4, 5,…

A: We recall the definition and solve this problem.

Q: if p is a prime, what is 10/p as a function of p?

A: We have to tell  What is 10/p as a function of p   It is given that p is prime

Q: Let x, y E N, determine each of following statemen is true or false (N means Natural number, natural…

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Q: 15 Let (x+1) {x-2}" 20 g"k) = concave upX-) on what interval(s IS (NOte: Crinen gil but aske about…

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Q: Show that for n ≥ 3, ô(n) is even.

A: We have from the definition of Euler ϕ function: ϕ(1)=1 and ϕ(2)=1 Now Let n ≥ 3

Q: Let x be a particular value of x². Find the value of such that the following is true. a. P(x² >x) =…

A: Note: Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.