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2 o calculate the probability P(0 ≤ ZS 2.74), we compute the difference (2.74) - (0). The cdf values (2.74) and (0) can be found in the appendix table. The following is an excerpt from the standard normal distribution table of (z) values around z = 2.74. Z 0.00 2.8 0.01 0.9974 0.02 0.03 2.6 0.9953 0.9955 2.7 0.9965 0.9966 0.9967 0.9968 0.9975 0.9976 0.9977 0.04 0.05 0.9969 0.9970 0.9977 0.06 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 0.9978 0.07 0.9971 0.9972 0.08 0.9973 To determine the value of (0), note that this indicates the area to the left of the mean, z appendix with z = 0.00, we have (0) 0.09 Using the cdf values found above, calculate the probability, rounding to four decimal places. P(0 ≤ Z ≤ 2.74) = (2.74) - (0) 0.9974 0.9979 0.9979 0.9980 The left column, designating each row, lists the tenths place of the z value, and the remaining columns indicate the hundredths place of the z value. Therefore, to find the value of 0(z)-0(2.74), we From the above table, this gives the cdf value $(2.74) = look in the row labeled 2.7, and the column labeled = 0, which is half of the total area under the standard normal curve. Using this fact, or Table A.3 in the 0.9981

2 o calculate the probability P(0 ≤ ZS 2.74), we compute the difference (2.74) - (0). The cdf values (2.74) and (0) can be found in the appendix table. The following is an excerpt from the standard normal distribution table of (z) values around z = 2.74. Z 0.00 2.8 0.01 0.9974 0.02 0.03 2.6 0.9953 0.9955 2.7 0.9965 0.9966 0.9967 0.9968 0.9975 0.9976 0.9977 0.04 0.05 0.9969 0.9970 0.9977 0.06 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 0.9978 0.07 0.9971 0.9972 0.08 0.9973 To determine the value of (0), note that this indicates the area to the left of the mean, z appendix with z = 0.00, we have (0) 0.09 Using the cdf values found above, calculate the probability, rounding to four decimal places. P(0 ≤ Z ≤ 2.74) = (2.74) - (0) 0.9974 0.9979 0.9979 0.9980 The left column, designating each row, lists the tenths place of the z value, and the remaining columns indicate the hundredths place of the z value. Therefore, to find the value of 0(z)-0(2.74), we From the above table, this gives the cdf value $(2.74) = look in the row labeled 2.7, and the column labeled = 0, which is half of the total area under the standard normal curve. Using this fact, or Table A.3 in the 0.9981

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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SZ≤ 2.74) = 2.74 2 Z o calculate the probability P(0 ≤ Z ≤ 2.74), we compute the difference (2.74) (0). The cdf values (2.74) and (0) can be found in the appendix table. The following is an excerpt from the standard normal distribution table of D(z) values around z = 2.74. 0.00 2.8 2.74 0.01 0.02 $(0). Submit Answer 0.03 Submit Skip (you cannot come back) 0.04 0.05 = 0.06 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9962 0.9963 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9975 0.9974 The left column, designating each row, lists the tenths place of the z value, and the remaining columns Indicate the hundredths place of the z value. Therefore, to find the value of $(z) = (2.74), we From the above table, this gives the cdf value (2.74) = look in the row labeled 2.7, and the column labeled 0.9960 0.9961 0.07 0.08 0.9980 Using the cdf values found above, calculate the probability, rounding to four decimal places. P(0 ≤ Z≤ 2.74)=(2.74) - (0) 0.09 0.9964 To determine the value of (0), note that this indicates the area to the left of the mean, z = μ = 0, which is half of the total area under the standard normal curve. Using this fact, or Table A.3 in the appendix with z = 0.00, we have (0) 2.74 , and subtracting the area to the left of z = a = 0. That is, we can w 0.9974 0.9981
Transcribed Image Text:SZ≤ 2.74) = 2.74 2 Z o calculate the probability P(0 ≤ Z ≤ 2.74), we compute the difference (2.74) (0). The cdf values (2.74) and (0) can be found in the appendix table. The following is an excerpt from the standard normal distribution table of D(z) values around z = 2.74. 0.00 2.8 2.74 0.01 0.02 $(0). Submit Answer 0.03 Submit Skip (you cannot come back) 0.04 0.05 = 0.06 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9962 0.9963 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9975 0.9974 The left column, designating each row, lists the tenths place of the z value, and the remaining columns Indicate the hundredths place of the z value. Therefore, to find the value of $(z) = (2.74), we From the above table, this gives the cdf value (2.74) = look in the row labeled 2.7, and the column labeled 0.9960 0.9961 0.07 0.08 0.9980 Using the cdf values found above, calculate the probability, rounding to four decimal places. P(0 ≤ Z≤ 2.74)=(2.74) - (0) 0.09 0.9964 To determine the value of (0), note that this indicates the area to the left of the mean, z = μ = 0, which is half of the total area under the standard normal curve. Using this fact, or Table A.3 in the appendix with z = 0.00, we have (0) 2.74 , and subtracting the area to the left of z = a = 0. That is, we can w 0.9974 0.9981
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