Please show the work ! Find the value of Z for the standard normal distribution such...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) PCOS ZS 2.58) .4951 (b) PCOS ZS 2) .4772 (C) P(-2.70 < ZSO) .4965 (d) .993 P(-2.70 S ZS 2.70) V (e) P(Z < 1.21) .8869 (f) P(-1.95 S Z) .0226 (g) P(-1.70 SZS 2.00) .0218
Chapter 06, Section 6.4, Go Tutorial Problem 037 Determine the value of z so that the area under the standard normal curve (a) in the right tail is 0.0275. Round the answer to two decimal places. (b) in the left tail is 0.0376. Round the answer to two decimal places.Chapter 06, Section 6.4, Additional Question 007 Use a table, calculator, or computer to find the specified area under a standard normal curve. Round your answers to 4 decimal places. a) More than a z-score of 2.48;...
Find the following probabilities based on the standard normal variable Z (You may find it useful to reference the z table. Round your answers to 4 decimal places.) a. P(Z> 0.91) b. P(Zs-2.22) c. |Ploszs 1.5) d. Pl-0.82 s Zs2.62)
2. Random variable Z has the standard normal distribution. Find the following probabilities a): P[Z > 2] b) : P[0.67 <z c): P[Z > -1.32] d): P(Z > 1.96] e): P[-1 <Z <2] : P[-2.4 < Z < -1.2] g): P[Z-0.5) 3. Random variable 2 has the standard normal distribution. Find the values from the following probabilities. a): P[Z > 2) - 0.431 b): P[:<] -0.121 c): P[Z > 2] = 0.978 d): P[2] > 2] -0.001 e): P[- <Z...
A) 0.7995 11. If Z is a standard normal variable find the probabilities of a) P(Z <-0.35)- @w B) 0.3982 C) 1.2008 D) p.4013 (2 points) b) P(0.25s Z<1.55) (3 points) c) P(Z > 1.55) (2 points) 12. Assume that X has a normal distribution with mean deviation .5. Find the following probabilities: 15 and the standard a) P(X < 13.50)- 3 points). b) P (13.25 <X < 16.50)- (5 points). B) 0 2706 C0 5412 D) 1.0824 A mountuin...
Find the following probabilities based on the standard normal variable Z (Round your answers to 4 decimal places.) a. P(Z> 1.04) b. P(Zs -1.74) c. P(O s Z s 1.81) d. P(-0.81 s Zs 2.66)
Find the area under the standard normal distribution curve to the right of z = 1.57. Use Table E and enter the answer to 4 decimal places. The area to the right of the z value is _______ Find the area under the standard normal distribution curve between z = 0 and z = 2.65. Use Table E and enter the answer to 4 decimal places. The area between the two z values is _______ Find the area under the standard normal distribution curve...
7. For a standard normal distribution, find: P(z < c) = 0.1164 Find c rounded to two decimal places. 8.For a standard normal distribution, find: P(z > c) = 0.89 Find c rounded to two decimal places 9.About ___% of the area under the curve of the standard normal distribution is between z=-0.426 and z=0.426 (or within 0.426 standard deviations of the mean). 10.About ___% of the area under the curve of the standard normal distribution is outside the interval...
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.) Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 4 decimal places.)...
Standard Normal distribution. With regards to a standard normal distribution complete the following: (a) Find P(Z > 0), the proportion of the standard normal distribution above the z-score of 0. (b) Find P(Z <-0.75), the proportion of the standard normal distribution below the Z-score of -0.75 (c) Find P(-1.15<z <2.04). (d) Find P(Z > -1.25). (e) Find the Z-score corresponding to Pso, the 90th percentile value.