Find the different laurent series in the corresponding domains: 1 (2-1) (2-2) ,0< 12-11 <1;1<12-21 <.
11. If X has the density function S 22-2 f(x) = { 10, for x > 2; otherwise Find the density function for Y = 4X
QUESTION 8 Let x be a binomial random variable with n=5 and p=0.7. Find P(X <= 4). O 0.1681 0.5282 0.4718 0.8319 0.3601
(2 points) x19 20 21 22 23 P(X = x) 0.1 0.1 0.2 0.1 0.5 Given the discrete probability distribution above, determine the following (a) P(X = 21) = (b) P(X > 20) = (c) P(X> 20)=
Find all real solutions of the equation (2 – 6)? = 4. 21 = and 12 with i < 22
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а) Р(X — 17) (b) Р(14 < X < 22) (c) the largest integer m such that P(X > m) > 0.7. You could do this by trial-and-error or by automating the process with for loop
(a) Find P{X=2} (b) Find P{X<2} (c) Find P{2 <= X < 2.5} The cumulative distribution of a random variable X is given as 0 x < 0 0<x<2 4 Fx(x) = 2<x<3 4 x 3 x + 1
QUESTION 11 Find P(1.21szs1.37) (Round your answer to four decimal places ) QUESTION 12 Find Pz-1.61) (Round your answer to four decimal places) QUESTION 13 Assume that x is a normally distributed random variable with a mean of 70 and a standard deviation of 10 Find (x70) Find P(70kxx82) Find P(67x<93) Find (x<48) A 0.0139 B.0.3849 C. 0.6072 D. 0.5000 QUESTION 14 Calculate the z-score of the sample mean x bar, given that 515; when ?: 38, 3.m# 60 and...
Suppose that 20, 21, 22, ... is sequence defined as follows. do = 5,21 = 16,0 integers n > 2. Prove that an = 3.2" +2.5" for all integers n > 0. = 7an-1 – 10an-2 for all
9. Suppose X-N(12,3). Compute P(X>6). a. 0.0228 x~ N(M=12, 2=3) b. 0.7625 c. 0.9772 d. 0.6278 * =-P(L<-2.0) = 1-0.02275 = P(X>6)=0.9772 P(x) = P( 4 ) = P(Z > 6512)=P(L>-2.0)