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Anna35 [415]
4 years ago
13

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. what

is the probability that the average height of a sample of twenty 18-year-old men will be less than 67 inches? round your answer to four decimal places.
Mathematics
1 answer:
docker41 [41]4 years ago
3 0
The probability is 0.3707.

We calculate the z-score associated with this using the formula 

z = (X-μ)/σ = (67-68)/3 = -1/3 = -0.33

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this (less than) is 0.3707.
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Charra [1.4K]

Therefore, \frac{8}{7}= 1.14 cannot represent the probability of an event. So, option C is correct.

We need to identify which of the given option cannot represent the probability of an event.

<h3>What is probability?</h3>

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Now, \frac{1}{14} =0.0714, \frac{8}{7}= 1.14 and \frac{20}{21}=0.952.

Therefore, \frac{8}{7}= 1.14 cannot represent the probability of an event. So, option C is correct.

To learn more about the probability visit:

brainly.com/question/11234923.

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For  y=3sin (x), it's also B

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Step-by-step explanation:

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Step-by-step explanation:

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