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lucypackham9
06.07.2019 •
Mathematics
Opening up the monthly cell phone bill can be alarming due to the uncertainty of the bill. suppose the amount of minutes used per month is distributed normally with a mean of 700 minutes and a standard deviation of 120 minutes. what is the probability that more than 940 minutes were used?
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Ответ:
940 - 700
The applicable z score here is z = = 2. What is the area under
120
the curve and to the right of 2 std. deviations from the mean?
You could find the answer from a table of z-scores, or you could take advantage of the empirical rule. The empirical rule states that 95% of the normally distributed data set lies within 2 std. dev. of the mean.
The area to the right of z=2 is 0.5 (half the area under the std. normal curve) less 0.95/2, that is, less 0.475.
Subtracting 0.475 from 0.500 yields 0.025 (answer). 2.5% of the time, the monthly phone bill will exceed 940, or 2 std. dev. above the mean.
Ответ:
N-I-G-G-A
Step-by-step explanation: