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jeremiahphillip4396
17.03.2022 •
Mathematics
Use the drop-down menus to correctly complete the table.
A =
8
39
140
354
B =
1/3
3
9
27
Solved
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Ответ:
The probability that a randomly selected compact car gets at least 40 miles per gallon is about 1.74%
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The probability that a randomly selected compact car gets at least 40 miles per gallon is about?
This is 1 subtracted by the pvalue of Z when X = 40. So
1 - 0.9826 = 0.0174
The probability that a randomly selected compact car gets at least 40 miles per gallon is about 1.74%