Round off z-values to two decimal places. Express probabilities in 4 decimal places as found in the provided z-table (Table 1 The Standard Normal.) Include a leading zero before the decimal point, e.g. "0.9999" and not ".9999".The average waiting time to be seated for dinner at a popular restaurant is 23.2 minutes, with a standard deviation of 3.1 minutes. Assume the variable is normally distributed.When a customer arrives at the restaurant for dinner, answer the following questions:Find the probability that the customer will have to wait between 15.5 and 21 minutes:A. z-value for 15.5, z1:corresponding probability, P(Z<21):B. z-value for 21, z2:corresponding probability, P(Z<22): Cumulative Standard Normal DistributionZ.00.01.02.03.04.05.06.07.08.09-3.4.0003.0003.0003.0003.0003.0003.0003.0003.0003.0002-3.3.0005.0005.0005.0004.0004.0004.0004.0004.0004.0003-3.2.0007.0007.0006.0006.0006.0006.0006.0005.0005.0005-3.1.0010.0009.0009.0009.0008.0008.0008.0008.0007.0007-3.0.0013.0013.0013.0012.0012.0011.0011.0011.0010.0010-2.9.0019.0018.0018.0017.0016.0016.0015.0015.0014.0014-2.8.0026.0025.0024.0023.0023.0022.0021.0021.0020.0019-2.7.0035.0034.0033.0032.0031.0030.0029.0028.0027.0026-2.6.0047.0045.0044.0043.0041.0040.0039.0038.0037.0036-2.5.0062.0060.0059.0057.0055.0054.0052.0051.0049.0048-2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064-2.3.0107.0104.0102.0099.0096.0094.0091.0089.0087.0084-2.2.0139.0136.0132.0129.0125.0122.0119.0116.0113.0110-2.1.0179.0174.0170.0166.0162.0158.0154.0150.0146.0143-2.0.0228.0222.0217.0212.0207.0202.0197.0192.0188.0183-1.9.0287.0281.0274.0268.0262.0256.0250.0244.0239.0233-1.8.0359.0351.0344.0336.0329.0322.0314.0307.0301.0294-1.7.0446.0436.0427.0418.0409.0401.0392.0384.0375.0367-1.6.0548.0537.0526.0516.0505.0495.0485.0475.0465.0455-1.5.0668.0655.0643.0630.0618.0606.0594.0582.0571.0559-1.4.0808.0793.0778.0764.0749.0735.0721.0708.0694.0681-1.3.0968.0951.0934.0918.0901.0885.0869.0853.0838.0823-1.2.1151.1131.1112.1093.1075.1056.1038.1020.1003.0985-1.1.1357.1335.1314.1292.1271.1251.1230.1210.1190.1170-1.0.1587.1562.1539.1515.1492.1469.1446.1423.1401.1379-0.9.1841.1814.1788.1762.1736.1711.1685.1660.1635.1611-0.8.2119.2090.2061.2033.2005.1977.1949.1922.1894.1867-0.7.2420.2389.2358.2327.2296.2266.2236.2206.2177.2148-0.6.2743.2709.2676.2643.2611.2578.2546.2514.2483.2451-0.5.3085.3050.3015.2981.2946.2912.2877.2843.2810.2776-0.4.3446.3409.3372.3336.3300.3264.3228.3192.3156.3121-0.3.3821.3783.3745.3707.3669.3632.3594.3557.3520.3483-0.2.4207.4168.4129.4090.4052.4013.3974.3936.3897.3859-0.1.4602.4562.4522.4483.4443.4404.4364.4325.4286.4247-0.0.5000.4960.4920.4880.4840.4801.4761.4721.4681.4641For z values less than -3.49, use 0.0001.AreaZ0 Cumulative Standard Normal DistributionZ.00.01.02.03.04.05.06.07.08.090.0.5000.5040.5080.5120.5160.5199.5239.5279.5319.53590.1.5398.5438.5478.5517.5557.5596.5636.5675.5714.57530.2.5793.5832.5871.5910.5948.5987.6026.6064.6103.61410.3.6179.6217.6255.6293.6331.6368.6406.6443.6480.65170.4.6554.6591.6628.6664.6700.6736.6772.6808.6844.68790.5.6915.6950.6985.7019.7054.7088.7123.7157.7190.72240.6.7257.7291.7324.7357.7389.7422.7454.7486.7517.75490.7.7580.7611.7642.7673.7704.7734.7764.7794.7823.78520.8.7881.7910.7939.7967.7995.8023.8051.8078.8106.81330.9.8159.8186.8212.8238.8264.8289.8315.8340.8365.83891.0.8413.8438.8461.8485.8508.8531.8554.8577.8599.86211.1.8643.8665.8686.8708.8729.8749.8770.8790.8810.88301.2.8849.8869.8888.8907.8925.8944.8962.8980.8997.90151.3.9032.9049.9066.9082.9099.9115.9131.9147.9162.91771.4.9192.9207.9222.9236.9251.9265.9279.9292.9306.93191.5.9332.9345.9357.9370.9382.9394.9406.9418.9429.94411.6.9452.9463.9474.9484.9495.9505.9515.9525.9535.95451.7.9554.9564.9573.9582.9591.9599.9608.9616.9625.96331.8.9641.9649.9656.9664.9671.9678.9686.9693.9699.97061.9.9713.9719.9726.9732.9738.9744.9750.9756.9761.97672.0.9772.9778.9783.9788.9793.9798.9803.9808.9812.98172.1.9821.9826.9830.9834.9838.9842.9846.9850.9854.98572.2.9861.9864.9868.9871.9875.9878.9881.9884.9887.98902.3.9893.9896.9898.9901.9904.9906.9909.9911.9913.99162.4.9918.9920.9922.9925.9927.9929.9931.9932.9934.99362.5.9938.9940.9941.9943.9945.9946.9948.9949.9951.99522.6.9953.9955.9956.9957.9959.9960.9961.9962.9963.99642.7.9965.9966.9967.9968.9969.9970.9971.9972.9973.99742.8.9974.9975.9976.9977.9977.9978.9979.9979.9980.99812.9.9981.9982.9982.9983.9984.9984.9985.9985.9986.99863.0.9987.9987.9987.9988.9988.9989.9989.9989.9990.99903.1.9990.9991.9991.9991.9992.9992.9992.9992.9993.99933.2.9993.9993.9994.9994.9994.9994.9994.9995.9995.99953.3.9995.9995.9995.9996.9996.9996.9996.9996.9996.99973.4.9997.9997.9997.9997.9997.9997.9997.9997.9997.9998For values greater than 3.49, use 0.9999.Area0

Given , Mean , 23.2Standard deviation , 3.1Let , X be the variable is normally distributed .

Answered: Round off z-values to two decimal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Round off z-values to two decimal places. Express probabilities in 4 decimal places as found in the provided z-table (Table 1 The Standard Normal.) Include a leading zero before the decimal point, e.g. "0.9999" and not ".9999". The average waiting time to be seated for dinner at a popular restaurant is 23.2 minutes, with a standard deviation of 3.1 minutes. Assume the variable is normally distributed. When a customer arrives at the restaurant for dinner, answer the following questions: Find the probability that the customer will have to wait between 15.5 and 21 minutes: A. z-value for 15.5, z1: corresponding probability, P(Z<21): B. z-value for 21, z2: corresponding probability, P(Z<22):