2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
1 answer:
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Answer:
And we can find the probability with this difference:
And using the normal standard table or excel we got:
And the best answer would be:
0.3811
Step-by-step explanation:
Let X the random variable that represent the ratings of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using the z score we got:
And we can find the probability with this difference:
And using the normal standard table or excel we got:
And the best answer would be:
0.3811
Answer:
38.59% probability that inflation rate will be below 1.9% in 2019
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:
If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?
This is the pvalue of Z when X = 1.9. So
has a pvalue of 0.3859
38.59% probability that inflation rate will be below 1.9% in 2019