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3 years ago

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer: 0.1587

Step-by-step explanation:

Given : Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

i.e. $\mu=70 ,\ \sigma=4$

Let x be the random variable that represents the heights of adult males.

Also, $z=\dfrac{x-\mu}{\sigma}$

For x= 74 , we have

$z=\dfrac{74-70}{4}=1$

Then, the probability that a randomly selected male is more than 74 inches tall:-

$P(x>74)=P(z>1)=1-P(z\leq1)\\\\=1- 0.8413447\\\\=0.1586553\\\\\approx0.1587$ [using z-value table.]

Hence, the probability that a randomly selected male is more than 74 inches tall = 0.1587

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3 years ago

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

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Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

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Method 2

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Method 3

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Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

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