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The weight of oranges growing in an orchard is normally
distributed with a mean weight of 5.5 oz. and a standard
deviation of 1 oz. What is the probability that a randomly
selected orange from the orchard weighs more than 4 oz., to the
nearest thousandth?

The weight of oranges growing in an orchard is normally distributed with a mean weight of 55 oz and a standard deviation of 1 oz What is the probability that a class=

Respuesta :

Answer:

The probability is 0.933

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD

x = 4

mean = 5.5

SD = 1

z-score = (4-5.5)/1 = -1.5

So we proceed to get the probability

This is;

P( z > -1.5)

we can get this from the standard normal distribution table

That will be

P(z > -1.5) = 0.93319

To the nearest thousandth, this is 0.933

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