a) Find the values of μ and σ. (b) The weights of the middle 96.6% of fruit cups are between (300 – K, 300 + K) grams. Find the value of K. (c) The weights of the middle 96.6% of fruit cups are between (L1, L2) grams. Find the values of L1 and L2.
A salad shop is selling fruit cups. Each fruit cup consists of two types of fruit, strawberries and blue berries.
The weight of strawberries in a fruit cup is
10 grams. The weight of blue berries in a fruit cup is normally distributed with mean μ grams and standard
deviation σ grams. The weight of strawberries and blue berries are independent, and it is known that the
weight of a fruit cup with average of 300 grams and standard deviation of 15 grams.
(a) Find the values of μ and σ.
(b) The weights of the middle 96.6% of fruit cups are between (300 – K, 300 + K) grams. Find the value
of K.
(c) The weights of the middle 96.6% of fruit cups are between (L1, L2) grams. Find the values of L1 and
L2.
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