Anshuman2002
14.05.2021 •
Mathematics
1a. [1 mark] The price per kilogram of tomatoes, in euros, sold in various markets in a city is found to be normally distributed with a mean of 3.22 and a standard deviation of 0.84. Find the price that is two standard deviations above the mean price.
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Ответ:
The price that is two standard deviations above the mean price is 4.90.
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 of 3.22 and a standard deviation of 0.84.
This means that
Find the price that is two standard deviations above the mean price.
This is X when Z = 2. So
The price that is two standard deviations above the mean price is 4.90.
Ответ:
f(3) =
Step-by-step explanation
f(3) = x
f(3) = x 64
f(3) =