Let Z ∼ N(0, 1).
Find a constant c for which P(Z ≥ c) = 0.1587. Round the answer to two decimal places.
Find a constant c for which P(c ≤ Z ≤ 0) = 0.4772. Round the answer to two decimal places.
Find a constant c for which P(−c ≤ Z ≤ c) = 0.8664. Round the answer to two decimal places.
Find a constant c for which P(0 ≤ Z ≤ c) = 0.2967. Round the answer to two decimal places.
Find a constant c for which P(|Z| ≥ c) = 0.1470. Round the answer to two decimal places.
In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) Ф(c)-0.9838 (a) (b) P(O SZ sc) 0.2967 (c) PC s Z)0.1230 (d) P(-c c)-0.6424 Z (e) P(c s IZ1)-0.0160 In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) Ф(c)-0.9838 (a) (b) P(O SZ sc) 0.2967 (c) PC s Z)0.1230 (d) P(-c c)-0.6424 Z...
Let Z be the standard normal variable. Find a constant z, z > 0, such that P(|Z| < z) = 0.98
Plz solve the problem by using MATLAB and show the code Given Z ~ N(0, 1) use Matlab to calculate a value c such that P(Z > c) answer to three decimal places. 0.115. Give your Given Z ~ N(0, 1) use Matlab to calculate a value c such that P(Z > c) answer to three decimal places. 0.115. Give your
3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value of P(Z -0.47) (b) Find the value of P(|Z|< 2.00). Note | denotes the absolute value function. (c) Find b such that P(Z > b) = 0.9382 (d) Find the 27th percentile. (e) Find the value of the critical value zo.05
3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value of P(Z < -0.47) (b) Find the value of P(|Z| < 2.00). Note denotes the absolute value function (c) Find b such that P(Z > b) = 0.9382 (d) Find the 27th percentile. (e) Find the value of the critical value z0.05
1) Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answers to two decimal places.) (a) P(Z > z) = 0.9706 z = ? P(−z < Z < z) = 0.8164 z = ? 2) Suppose X is a normal random variable with μ = 350 and σ = 20. Find the values of the following probabilities. (Round your answers to four decimal places.) (a) P(X < 405) = (b) P(370...
(proof) n all 26. Let P(z) = 0 stand for an the zeros of which are in the unit circle |z| < 1. Replacing each coefficient of P() by its conjugate we obtain the polynomial P(2). We define p*()=P( The roots of the equation P(z) + P*(2) = 0 are all on the unit circle |z| = 1 algebraic equation of degree n all 26. Let P(z) = 0 stand for an the zeros of which are in the unit...
For a population, N=16,000 and p= 0.22. Find the z value for p̂ = 0.26 for n=50. Round your answer to two decimal places. Z=
Let X ~ N(0, 1), and let Z ~ Unif{-1, 1} (i.e. P(Z = -1) = P(Z = 1) = 1/2) be independent of X. Let Y = ZX. What is the distribution of Y? Show that X and Y are uncorrelated. Are X and Y independent?
Given N(0,1), find: A) P(Z < 2.16 OR Z > 4.13) = 0.9842 Keep your answer in 4 decimal places. B) P(Z < 2.5 OR Z 2.59) = 0.0012 * Keep your answer in 4 decimal places. C) P(Z < 2.44 OR Z > 2.48) = * Keep your answer in 4 decimal places. D) P(Z < 4.17 OR Z 4.27) = 0 * Keep your answer in 4 decimal places. Doint