Factor the expression: 12x + 16
2 answers:
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Answer:
This probability is the p-value of Z given , considering X as less than X seconds,
as the mean and
as the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean , standard deviation
.
Find the probability that a randomly selected high school student can run the mile in less than X seconds.
This probability is the p-value of Z given , considering X as less than X seconds,
as the mean and
as the standard deviation.