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Ray Of Light [21]
3 years ago
15

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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