Probability
x kisomial (12 %) odus for 7 succes? x^ Binomial (13,3/1 { (i), u (W)? 1...
Problem #7: Which of the following statements are always true for vectors in R3? (i) If u (vx w)-4 then w - (vxu)-4 (ii) (5u + v) x (1-40 =-21 (u x v) (ili) If u is orthogonal to v and w then u is also orthogonal to w | V + V W (A)( only (B) (iii) only (C) none of them (D) (i) and (iii) only (E) all of them (F) (i) only (G)i and (ii) only (H)...
Let u = 4 – 7i, v=1+5 i and w= 6 + 7 i. What is u – (v – w)? Simplify your answer, giving it in the form a + bi. U- (v – W) = (To enter i, type i )
be a binomial random variable with E?X:-7 and Find (a) The parianeters N aud p. ) Px-4, PX Busow arrive ist a 8pe(ified Mop at ?5-tuntute intervals starting 7 AM Tht Ver(X)-21 they arrive at 7,7:15, 7:30, 7:45 , and so ou f s pnge stop ad. u time that is unifornnly distribnted between 7 and 7 30 Sad probability that he waits (a) less than 5 miutes for a bs. (b at least 10 minstes for a b 10...
Suppose that the functions u and w are defined as follows. u(x) = x²+1 w(x) = (x+6 Find the following. (u o w) (3) - 0 co 0/6 (w o u) (3) = 0 x 5 ?
7. Let X be a binomial random variable following 16P{X = 1} = 4Var(X) = E(X). Find E(X). b(np), 0 < p < 1 such that, [8 marks) 2 probabilitar 5 phe
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d).320 e) 456 3) 20% of employees at Acme Piston & Valve have college degrees. f those with a college degree, 56% are in the valve-worker's union. Of those without a college degree, 90% are in the valve- worker's...
Page of 12 Binomial Experiments Previously, we learned about binomial experiments. A binomial experiment consists of n independent trials, each having two possible outcomes: success, and failure. In addition, we define p to be the probability of success in one trial, and x is the number of successes in n trials. The probability of obtaining x successes is denoted P(x). The formula for computing this is P(x) = C:p. (1 - p)"-* In this lesson, we use technology rather than...
I'm not sure, is the final amswers a) 12 >(FT)> 24 pi s(w) b) x(w)= 5[pi s (w+7) + 1/j(w+7) ] c) sin 2t >(FT)> pi/2j [ s(w-2) - s(w+2)] Did I get them correct? ), of the following functions. Integration may not be required. 3 3 Compute the Fourier transform, X points) a) x(t) 12 -j7t b) x(t) - 5e-17 u(t) sin(2t) c) x(t)
[1] In parallelogram WXYZ, if u joins X to Y and v joins X to W, which connection forms a vector equal to u + v? v + u? u-v? V-u? A. W to Y B. Y to W C. X to Z D. Z to X W z Y [2] A linear combination of vectors is given. Determine the resultant vector using the tip- to-tail method for adding vectors geometrically. (9,-6) + (-12, -1) - (3, -15) + 5(2,...
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50