4.28 If Z ~ N(0,1), find the following probabilities: a. P(Z <1.38) b. P(Z > 2.14)...
1. Given that z is a standard normal random variable, compute the following probabilities. a. P(Z < 1.38) b. P(z 2 1.32) c. P(-1.23 Sz5 1.23)
4. Let Z ~ N(0,1) be a standard normal variable. Calculate the probability (a) P(1 <Z < 2). (b) P(-0.25 < < < 0.8). (c) P(Z = 0). (d) P(Z > -1).
Given N(0,1), find: A) P(Z < - 3.35) * Keep your answer in 4 decimal places. B) P(Z < 0.89) * Keep your answer in 4 decimal places. Given N(0,1), find: A) P(Z > - 2.65) = Keep your answer in 4 decimal places B) P(Z > 1.81) Keep your answer in 4 decimal places
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 20.05-
Compute the following probabilities assuming a standard normal distribution. a) P(Z < 1.4) b) P(Z < 1.12) c) P(-0.89 <z< 1.35) d) P(O<z<2.42)
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
2. Find the value of c that satisfies each of the following probabilities for a standard normal random variable 2: (a) p(z <c) = 0.975 (b) p(-c<z<c) = 0.95
Provided N(0, 1) and without using the LSND program, find P( - 2 <3 <0) Provided N(0, 1) and without using the LSND program, find P(Z < 2). Provided N(0, 1) and without using the LSND program, find P(Z <OOR Z > 2). Message instructor about this question Provided N(0, 1) and without using the LSND program, find P(-1<2<3). 0.84 Message instructor about this question
(1 point) Compute the following probabilities for the standard normal distribution Z. A P(0 < Z < 2.4) B. P(-1.85 <Z < 0.55) = c. P(Z > -1.95)
Problem 1 (15%): Find the following probabilities for two normal random variables Z = N(0,1) and X = N(-1,9). (a) P(Z > -1.48). (b) P(|X< 2.30) (c) What is the type and the parameters of the random variable Y = 3X +5?