The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6 grams. If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams?

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean =

Standard deviation =

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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step-by-step explanation: