A particular fruit's weights are normally distributed, with a
mean of 747 grams and a standard deviation of 39 grams.
The heaviest 13% of fruits weigh more than how many grams?
Give your answer to the nearest gram.
Solution:-
Given that,
mean = = 747
standard deviation = = 39
Using standard normal table,
P(Z > z) = 13%
= 1 - P(Z < z) = 0.13
= P(Z < z) = 1 - 0.13
= P(Z < z ) = 0.87
= P(Z < 1.13 ) = 0.87
z = 1.13
Using z-score formula,
x = z * +
x = 1.13 * 39 + 747
x = 791.07
x = 791 gram
A particular fruit's weights are normally distributed, with a mean of 747 grams and a standard...
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