For the standard normal distribution shown on the right, find the probability of z occurring in the indicated region. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The probability is (Round to four decimal places as needed.) X Area under the standard normal distribution to the left of Z (page 1) Z -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 די. -2.7 -2.6 25 -2.5 24 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 1.6 -1.5 1.4 -1.3 12 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 06 .00 .09 .08 .07 .06 .05 0002 .0003 .0003 .0003 .0003 .0003 .0004 .0004 .0004 .0004 .0005 .0005 .0005 .0006 .0006 0007 .0007 .0008 .0008 .0008 .0010 0010 .0011 .0011 0011 0014 .0016 .04 .03 .02 .01 .0003 .0003 .0003 .0003 .0003 0004 .0004 .0005 .0005 .0005 .0006 .0007 .0007 .0009 .0009 .0010 .0013 .0013 .0013 .0019 .0006 0006 .0008 0009 .0012 0012 .0016 .0017 .0014 .0014 .0015 .0015 0018 .0018 0022 .0026 0025 .0035 .0022 0023 .0023 .0024 .0025 0020 0031 0022 .0030 .0031 .0032 .0033 0034 0042 .0043 .0044 .0045 0057 .0057 .0059 .0060 0062 .0054 .0055 .0071 .0073 .0075 .0078 0090 .0062 .0080 .0082 .0104 .0107 .0038 .0039 .0040 .0041 .0052 .0069 .0091 0116 0119 .0154 0183 .0188 0192 0197 10134 0233 0239 0244 .0250 0255 0497 em 0294 0301 .0307 0294 0132 0136 .0139 .0096 .0099 0102 0125 .0129 0162 .0166 0170 .0174 .0179 0207 0212 0217 0222 0228 0262 0268 .0274 0281 .0287 0261 .0314 0522 .0329 .0336 .0344 0351 .0359 .0392 0401 0409 .0418 .0427 .0436 0485 .0495 .0505 .0516 0526 .0537 0594 .0606 .0618 .0630 .0643 .0655 .0094 0122 .0158 .0202 0256 0314 0322 .0367 .0375 .0384 .0446 .0455 0465 .0475 .0548 .0668 .0721 .0608 0808 0764 0778 0793 0918 .0934 0951 .0951 0968 0918 .0968 1292 1335 0721 0735 .0749 0885 0901 0885 .1056 .1075 .1093 1112 1131 1151 .1271 .1292 .1314 .1335 .1357 1492 1492 .1515 .1539 .1562 .1587 .1736 .1762 1788 .1814 .1841 2005 2033 2061 2090 2119 2296 2327 2358 2389 2420 2611 2643 2676 2709 2743 .0019 0021 0026 .0026 0030 .0020 .0021 0028 .0027 0027 0026 .0036 .0037 0049 0049 .0048 .0051 .0049 .0064 .0066 .0068 .0084 .0087 .0089 0110 0113 0143 0146 0150 .0559 .0559 .0571 0582 .0594 0708 0708 0853 0869 .1003 .1020 .1038 1038 .1190 .1210 .1230 .1611 1251 .1251 .1379 .1401 .1423 .1446 .1469 1635 .1635 .1660 .1685 .1711 .1894 .1922 1949 .1977 2177 2206 2236 2266 2493 2514 2546 2578 .0681 .0694 0838 .0838 0021 .0021 0823 0985 1170 .1170 0029 .0028 .0029 .1867 2148 2451 .0047 0047 -1.95 :46 Ne

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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Question
For the standard normal distribution shown, find the probability of \( z \) occurring in the indicated region.

**Instructions:**
To find the probability, refer to the standard normal table, which provides the area under the standard normal distribution curve to the left of a specified \( z \)-score. The table is divided across two pages:

- Click here to view page 1 of the standard normal table.
- Click here to view page 2 of the standard normal table.

**The probability is: [___]**

*(Round to four decimal places as needed.)*

### Standard Normal Table Explanation

The table shown provides the area under the standard normal distribution curve to the left of a given \( z \)-value. This area corresponds to the cumulative probability for that \( z \)-score.

**Understanding the Table:**

- The rows represent the \( z \)-score to the first decimal place.
- The columns represent the second decimal place of the \( z \)-score.
- To find the probability, match the row with the first decimal place of your \( z \)-score and the column with the second decimal place.

**Example Table Values:**

- For \( z = -3.4 \) and a second decimal of .00, the area is 0.0003.
- For \( z = 0.0 \), the exact middle of the standard normal distribution, the probability is 0.5000.
  
This table helps in finding the likelihood that a standard normal random variable is less than or equal to a certain value.
Transcribed Image Text:For the standard normal distribution shown, find the probability of \( z \) occurring in the indicated region. **Instructions:** To find the probability, refer to the standard normal table, which provides the area under the standard normal distribution curve to the left of a specified \( z \)-score. The table is divided across two pages: - Click here to view page 1 of the standard normal table. - Click here to view page 2 of the standard normal table. **The probability is: [___]** *(Round to four decimal places as needed.)* ### Standard Normal Table Explanation The table shown provides the area under the standard normal distribution curve to the left of a given \( z \)-value. This area corresponds to the cumulative probability for that \( z \)-score. **Understanding the Table:** - The rows represent the \( z \)-score to the first decimal place. - The columns represent the second decimal place of the \( z \)-score. - To find the probability, match the row with the first decimal place of your \( z \)-score and the column with the second decimal place. **Example Table Values:** - For \( z = -3.4 \) and a second decimal of .00, the area is 0.0003. - For \( z = 0.0 \), the exact middle of the standard normal distribution, the probability is 0.5000. This table helps in finding the likelihood that a standard normal random variable is less than or equal to a certain value.
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