Answer
Given that
sample mean
population standard deviation
sample size n = 42
z critical = 2.576 (using z table)
Confidence interval formula is
Q5 3 Points What is the maximum value of 22/(23 – 15) for |z< 2? O 2/15 0 1/4 04/7 O 47
Problem 2: Solve the initial value problem: with 4. 0<t〈2 f(t) 14t-2i,22
let f:[-pi,pi] -> R be definded by the function f(x) { -2 if -pi<x<0 2 if 0<x<pi a) find the fourier series of f and describe its convergence to f b) explain why you can integrate the fourier series of f term by term to obtain a series representation of F(x) =|2x| for x in [-pi,pi] and give the series representation DO - - - 1. Let f: [-T, 1] + R be defined by the function S-2 if-A53 <0...
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and P(1/3<Y < 1/2) Find E(Yl and EX Y) Find P(X+Y s 1/2)
22.) Determine P(Z <2.37). Draw a graph and use the calculator. (2 points) 23.) Find a if P(Z2a)=0.9131. Draw a graph and use the Chart (3 points) inv Norm area: 1-0.9131 N0 -- 1.3600 94568 0.9131 -1,360 24.) Suppose that the height of UCLA female students have normal distribution with mean 62 inches and inches. Find the probability of randomly selecting a female who is more than 68 inche had to solve.
Solve the polynomial inequality 4(r 12)( + 9)(z -2) <o Give your answer in interval notation. Enter DNE if there is no solution. Preview Get help: Video Points possible: 1 Unlimited attempts. Message instructor about this question Submit re to search
Exercise 2. Let consider a normally distributed random variable Z with mean 0 and variance 1. Compute (a) P(Z < 1.34). (b) P(Z > -0.01). (c) the number k such that P(Z <k) = 0.975.
Solve: Laurent series h(z) - Z O CIZ + 11 <3 (2+1)(2-2)
7. Define a Markov Chain on S-0,1,2,3,... with transition probabilities Pi,i+1 with 0<p < 1/2. Prove that the Markov Chain is reversible.
(1 point) If z is a binomial random variable, compute P(C) for each of the following cases: (a) Px <6), n=8, p = 0.3 P(x) = (b) P(x > 2), n = 3, p=0.5 P(x) = (c) Pa<5), n = 8, p=0.6 P(x) = (d) P(x > 2), n = 3, p = 0.7 P(x) =