Gerald purchased a rectangular plot of land. The length of the plot is 20 feet more than the width. The cost of the land was $12
1 answer:
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Answer:
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
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 question, we have that:
What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
This is the pvalue of Z when X = 1380. So
has a pvalue of 0.394
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours