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The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.
<h3>What is a function?</h3>The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The air quality index (AQI) is given by the function.
Where n be the number of days the AQI exceeds 100 in a given year.
For , then we have
More about the function link is given below.
Answer:
The warranty period should be of 32 months.
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.
Mean time before failure of 40 months with a standard deviation of 6 months.
This means that
What should be the warranty period, in months, so that the manufacturer will not have more than 10% of the blenders returned?
The warranty period should be the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
The warranty period should be of 32 months.