Problem 5) Let Xhave the binomial PMF P₂(x)=(X)* a) Find the standard deviation of the random variable X. b) What is Pux - Ox≤ X≤ Mx + ox], the probability that X is within one standard deviation of the expected value. Find Px/(x), where the condition B = {X# 0}.

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A: Permutations and combinations are given.

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Q: 50 50 51 7. + 40 39 40 • () - €) (") - () () - () () 7 8. 4 10 9. 2 10 8 8. 8 8. 10. + 2 3 6.

A: We can solve the given problem using concept of fractions.

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Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

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A: Given data: Confidence level = 95%

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A: Find characteristics polynomial and use caylay hamilton theorem

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Q: 5. Show that 1.2+2·3+3.4+...+ (n − 1)(n) = (n³ − n)

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Q: 11! 1.) 5!x4!x3! 2.) Р(8, 5) 3.) Р(12, 4)

A: Our aim is to solve the following :  1) 11!/(5!*4!*3!) 2) 10!/7! 3) P(8,5) As per our guidelines, we…

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A: Let .To find a real number  such that .

Q: Prove that gcd(a + b, a − b) = ged(2a, a − b) = ged(a + b, 2b).

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A: We will use definition of algebraic numbers

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Q: 1. D. 1. D. 10 matrix by 1Row methid. Solve

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Q: 3.20) what is the remainder when 1s+85+...t100s is divided by4?

A: Given 15+25+....+1005 is divided by 4

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A: We have to find the angle

Q: -4; -7; -10; -13; 1.2.1. Write down the next two terms 1.2.2. Describe the pattern you notice 1.2.3.…

A: the given sequence is  -4,-7,-10,-13,... 1. the next two terms will be -16,-19 2. Each term is…