Assume a binomial probability distribution with n=50n=50 and π=0.34 π=0.34 . Compute the following: a. The mean and standard deviation of the random variable b. The probability that X is 21 or more. c. The probability that X is 13 or less
De more than 50% of US adults feel they penough sleep? According to Gallupsfestyle pill. 507 US adataid that that they -0.01 to test your hypothesis What is the value for the test state in this scenario? sleep. The pow e r of IZUS . O 0.540 000 - 0.500 D0010
3. Let V-CỦ-π, π]), the vector space of continuous functions on [-π, π]. Let (a) Prove that ( , ) is an inner product (b) Let S-{sin r, cos z, sin 2r, cos 2r, sin 3x, cos 3x,...n-1,2,. Show that S is a set of orthonormal vectors
3. Let V-CỦ-π, π]), the vector space of continuous functions on [-π, π]. Let (a) Prove that ( , ) is an inner product (b) Let S-{sin r, cos z, sin 2r, cos...
6. Find Vi in the following circuit if VR2 3 V, I -2 A, RI 100 , and R2 50 . Ry VR R.y 7. What is the output voltage (Vo) of the summing op-amp below? 1000 kn 200 k2 50 k2 +5 V 100 k2 -5 V V. out 8. For the operational amplifier circuit depicted below: a. Determine Vout in terms of the resistors: Ri, R2, R3, R4 and I R1 qut R- (current source) for the operational...
Exercise 1: Let k 21 be a positive integer. Consider the set of ordered 2k-tuples Π = {(zi, r2k) : ri+r2k, as (ri, -.. .r2k) vary over T? , 21 < ri s 61. Which number appears most often as the sum In other words, suppose we roll 2k six-sided standard dice, and add up the numbers that appear. Which number (as a function of k) appears most often as the sum of the values on top?
Problem 13.40 (Multistep) A π ("pi-minus") particle, which has charge-e, is at location <4 x 10-9,-5 x 10.9,-3 x 10-9> m. ▼ Part 1 Your answer is partially correct. Try again. what is the electric field at location <-4 × 10-9, 2 E=< 10-9, 5 × 10-9> m, due to the π-particle? 凶 ix ! : . T newton/coulomb ▼ Part 2 An antiproton (same mass as the proton, charge-e) is at the observation location, what is the force on...
determine the following probabilites a. for n= 3 and (pie)π = 0.16, what is P(X=0)? b. for n= 10 and (pie)π = 0.40 , what is P(X=9)? c. for n= 10 and (pie)π = 0.60, what is P(X=8)? d. for n= 5 and (pie)π = 0.81, what is P(X=4)?
Solve the given initial-value problem. d2y dθ2 + y = 0, y(π/3) = 0, y'(π/3) = 6
SIC PROBLEMs At an interest rate of 12%, the six-year discount factor is.507. How many dollars is S.507 worth in six years if invested at 12%? If the PV of $139 is $125, what is the discount factor? Ifthe cost ofcapital is 900, what is the PV of$374 paid in year 9? A project produces a cash flow of $432 in year 1, $137 in year 2, and $797 in year 3. If the cost ofcapital is 1500, what is...
Supposez1 =4 cos 3 +isin 3 andz2 =2 cos 6 +isin 6 .
Computez1z2.
(a) 8(cos?π?+isin?π?) 22
(b) 4(cos?4π?+isin?4π?) 66
(c) 2(cos?π?+isin?π?) 66
(d) cos(π)+isin(π)
(e) 8(cos?π?+isin?π?)
66
17. Suppose z1 = 4 (cos (1) + i sin (5)) and z2 = 2 (cos () + i sin (7)). Compute z122. (a) 8(cos (7) + i sin (7)) (b) 4(cos (4) + i sin (*)) (c) 2(cos (7) + i sin ()) (d) cos(T) + i sin(TT) (e) 8(cos (7)...