Converting to the standard normal random variable z, the probability statement P(x ≤ 19.5) is now P(z S-2.14). Recall that the normal probability table gives the area under the curve to the left of a giv value. An excerpt is given below. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0217 0.0212 0.0207 0.0202 0.0197 -2.0 0.0228 0.0222 Z 0.09 0.07 0.08 0.0116 0.0113 0.0110 0.0150 0.0146 0.0143 0.0192 0.0188 0.0183 Use the above table to find the probability that fewer than 20 adults in the group smoke, P(Z S-2.14), rounding the result to four decimal places. P(Z S-2.14) = 0.0170 x

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Converting to the standard normal random variable z, the probability statement P(x ≤ 19.5) is now P(Z < -2.14). Recall that the normal probability table gives the area under the curve to the left of a given z
value. An excerpt is given below.
0.00
0.01
0.02
0.03
0.04 0.05
0.06
0.07
0.08
0.09
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119
0.0116 0.0113 0.0110
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183
Z
Use the above table to find the probability that fewer than 20 adults in the group smoke, P(Z < -2.14), rounding the result to four decimal places.
P(Z ≤ 2.14) = 0.0170
X
Transcribed Image Text:Converting to the standard normal random variable z, the probability statement P(x ≤ 19.5) is now P(Z < -2.14). Recall that the normal probability table gives the area under the curve to the left of a given z value. An excerpt is given below. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 Z Use the above table to find the probability that fewer than 20 adults in the group smoke, P(Z < -2.14), rounding the result to four decimal places. P(Z ≤ 2.14) = 0.0170 X
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