3. (a) Show how Chebyshev's Inequality P(\X – H| > Cơ)< e follows by Markov's Inequality (which was proved in class). (b) Suppose that we repeatedly flip a fair coin. Using Chebyshev's Inequal- ity, find an upper bound on the number of flips required so that we can be 99% sure that the proportion of Heads will be in the interval [0.49,0.51] (close to 50%).

Q: -48 6

A:

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: In a statistical test, we have a choice of a left-tailed test, a right-tailed test, or a two-tailed…

A: We know that ; Type of test will be depending upon Alternative hypothesis. A one tailed test has the…

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: 4. 3*+4 72x-1

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: A company is considering drilling four oil wells. The probability of success for each well is 0.45,…

A: Solution: Let X be the number of success in  drilling  oil wells.  The probability of  success for…

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

A:

Q: Multiply. 5/ x-4 5. 7 6 X+1

A:

Q: 1 + 2n < n° for all integers n² 2

A:

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: 5 (4k + 3) k 1

A: Given,

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: he probability of an event is 0.0825. For which standard significance level would this event be…

A: The probability of an event is 0.0825.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 22 7/8 - 7=

A: Given,

Q: 5s – 6 Find L s² – 4s + 7.

A: