A particular fruit's weights are normally distributed, with a
mean of 623 grams and a standard deviation of 36 grams.
The heaviest 15% of fruits weigh more than how many grams?
Give your answer to the nearest gram.
SOLUTION :
Let a grams be the weight over which 15% fruits are there.
P( x > a) = P( z > (a - m)/s)
=> 0.15 = P( z > (a - m)/s)
From ND table :
z > 1.036
The cutoff point is z = 1.036
So,
a = z * s + m = 1.036 * 36 + 623 = 660.296 = 660 grams
So, the heaviest 15% fruits weigh more than 660 grams (ANSWER).
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