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The probability statement that a student does not complete the exam in 130 minutes was determined to be P(x > 130). The corresponding probability
The probability statement that a student does not complete the exam in 130 minutes was determined to be P(x > 130). The corresponding probability statement for the normal random variable z is P(z > 1.50). Recall that the normal probability table below gives the area under the curve to the left of a given z value and the entire area under this curve is 1. Here, we want the area to the right of z = 1.50, so we can subtract the area to the left of z = 1.50 from 1. Z 0.00 1.4 0.9192 1.5 0.9332 0.01 1.6 0.9452 0.9207 0.9345 0.9463 0.02 0.04 0.9222 0.9236 0.9251 0.9357 0.9370 0.9382 0.9474 0.9484 0.9495 0.03 0.05 0.9265 0.9394 0.9505 0.06 0.07 0.08 0.09 0.9279 0.9292 0.9306 0.9319 0.9406 0.9418 0.9429 0.9441 0.9515 0.9525 0.9535 0.9545 Use the table excerpt above to find the probability that a student takes longer than 130 minutes to complete the exam, rounding to four decimal places. P(z > 1.50) = 1 0.0495 =0.0974 x x
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