Let X denote the number of computers in a computer lab. 0 1 2 3 4 5 6 .05 .10 .15 .25 .20 .15 .10 X p(x) Calculate P(X ≤ 2), P(X ≥ 3), P(2 ≤ X ≤ 5) and P(2 < X < 5).

Q: HW6 Proue →1<a = | <aca

A: We have to prove that  For all a &gt; 1, we always have 1 &lt; a &lt; a2 .

Q: Suppose X ~ t5, calculate P[–1.476 ≤ X ≤ 3.365]

A: Given that random variable X follows t distribution with degrees of freedom 5

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Q: If you were asked to find R6 on the interval [4,10], what x values would be evaluated? 5,6,7,8,9,10…

A: To find R6, we partition the given interval [4, 10] into six equally spaced sub intervals.

Q: What is mzP? 132° (4х — 10)°) P((4x + 2)° (5х — 11)°) 128°

A: 4). Given figure is: We know that sum of angles in a pentagon is 540°.…

Q: If p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2?…

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Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

A: We have given thatP(A) = 0.4P(B) = 0.7We have to show that0.1 ≤ P(AB) ≤ 0.4

Q: Calculate P(2.7<x<3)

A: Solution-: The probability density function is, f(x)=16x            ; 2&lt;x&lt;4 We want to  find…

Q: Find the measure of E. (6x + 2)° H E G F (3x+23)

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Q: A box contains 3 balls, labeled "1", "2", and "3". Two balls are randomly selected with replacement…

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Q: Let N={1,2,3,4,...}. Let P(x,y) be the predicate that x is less than or equal to y^2

A: (d) S = {1, 2, 3, 4, 5, 6, 7, 8, 9} (e) T = {3,4,5,6,......} (f) R = {} (empty set)Explanation:(d)…

Q: - (10 points) Show |a – b| < |a| + [b| Va,b eR.

A: We have to show that  a-b≤a+b      ∀a, b∈ℝ

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Q: Suppose that all the people in a country are ranked according to their incomes, starting at the…

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Q: 2) Consider the rules of inference: a) p → ~q, ~p →q P q. Show it is sound. Recall we need to show…

A: We have the argument: p→~q~p→q∴~p↔q So, we need to show that it is sound. We basically need to show…

Q: alculate P(2.9<x<3.7) Express your answer in DECIMAL FORM (2 decimal places)

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Q: This question is similar to Exercises 10-16 on pages 287-288 of your textbook. Let z be the standard…

A: Given that.   X~N( μ , ?)   μ=15     , ?=8   Z-score =( x - μ )/?   NOTE:- According to bartleby…

Q: Let X˷Bin(10,0.3).what is P(X<2)?

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Q: Suppose that X is a random variable with distribution function given by 0, x < 0, 告, 0 <x < 1, Fx…

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Q: Find the measure of Zj. 4x -2 5x - 3 10x-20

A: As sum of two interior angles of a triangle is equal to exterior angle of third angle. So 5x-3+4x…