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You are given a 5 card hand from random?
A = probability your hand has exactly one spade
B = probability that the hand contains exactly one Ace
What is Prob [A] , Prob [B], Prob [A n B]?
1 AnswerMathematics5 years agoHow do you use these samples to estimate the standard deviation σ?
Given a normally distributed random variable X with unknown expected value μ and unknown standard deviation σ. Take n independent samples {x1,x2,...xn} from X. How do you use these samples to estimate the standard deviation σ?
1 AnswerMathematics5 years agoEstimate the expected length of time until half of the bulbs have burned out (explain your reasoning)?
Suppose there are 10,000 light bulbs and the burnout time is independent from each other and follows the exponential distribution with a mean of 10 months.
Estimate the expected length of time until half of the bulbs have burned out (explain your reasoning). I'm guessing 10 months but im not sure
1 AnswerMathematics5 years agoEstimate the expected length of time until half of the bulbs have burned out (explain your reasoning)?
Suppose there are 10,000 light bulbs and the burnout time is independent from each other and follows the exponential distribution with a mean of 10 months.
Estimate the expected length of time until half of the bulbs have burned out (explain your reasoning). I'm guessing 10 months but im not sure
1 AnswerMathematics5 years agoExplain this variant of Chebyshev's theorem?
For a data set X, put Far[X] = Expect[(X - Expect[X])^4] . Explain this variant of Chebyshev's theorem: Prob[ | X - Expect[X] | > a] ≤ Far[X]/a^4 .
Also, Make up your own variant of Chebyshev's theorem and explain why it works.
1 AnswerMathematics5 years agoExplain this variant of Chebyshev's theorem?
For a data set X, put Far[X] = Expect[(X - Expect[X])^4] . Explain this variant of Chebyshev's theorem: Prob[ | X - Expect[X] | > a] ≤ Far[X]/a^4 .
Make up your own variant of Chebyshev's theorem and explain why it works.
1 AnswerMathematics5 years agoWrite each of the following isometries a composition of at most three reflections?
a) ρA,π/6,
(b) τA τB, and
(c) σ_lBC ρA, π/6 σ_lBC
where A = (1, 0), B = (0, 1) and C = (−1, 0)
1 AnswerMathematics5 years agoWhich of the following maps are isometries?
Which of the following maps are isometries:
• f(X) := (y, −x),
• g(X) := (x + y, y), and
• h(X) := (x^2 − y^2, 2xy)
when X = (x, y).
2 AnswersMathematics5 years agoSuppose that A, B and C are points and that →AB and →BC are not parallel?
Show that L,the perpendicular bisector of AB, and L', the perpendicular bisector of BC, are not parallel and so
intersect.
1 AnswerMathematics5 years agoSuppose that A and B are non-zero vectors that are not parallel?
Show that if A and C are orthogonal and B and C are orthogonal then C is the zero vector
2 AnswersMathematics5 years agoHow many subgroups of D3 are there that are isomorphic to Z2?
1 AnswerMathematics5 years agoShow that A, B and σA(B) are collinear.?
1 AnswerMathematics5 years agoBy constructing the possible Cayley tables, list all groups where the underlying set has at most 4 elements, up to isomorphism.?
That is, no two of the groups in your list should be isomorphic.
1 AnswerMathematics5 years ago