Let X1, X2; …..;Xn (with n ϵ N0) be a sequence of i. i.d. Bernouilli random variables, that is, each Xi takes on the value of 1 with probability π and 0 with the complementary probability, 1-π
(a) Let X(sample mean)=(∑^n i=1(Xi)/n, what are the expected value and variance of sample mean? Explain your derivations. [5 marks]
(b) For which value of is the variance of X(bar) the largest? What is the corresponding largest value for the variance? (Hint: look at the expression for the variance of X(bar) and maximize with respect to π [20 marks]
(c) Use the largest possible variance for X(bar) to construct a 95 % confidence interval
for π.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).