Mathematics: The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. complete parts (a) through (f). (a) what is the probability a randomly selected student in the city will read more than 96 words per minute?

The answer is triangle BECStep-by-step explanation:...

The reading speed of second grade students in a

Ответ:

asenath6477

14.03.2022

Mathematics

0.2743

Step-by-step explanation:

Given : The reading speed of second grade students in a large city is approximately normal, with a mean of $\mu=90$ words per minute (wpm) and a standard deviation of $\sigma=10$ wpm.

Let x be the random variable that represents the reading speed of second grade students.

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 96 words per minute

$z=\dfrac{96-90}{10}=0.6$

Now, the probability a randomly selected student in the city will read more than 96 words per minute will be :-

$P(x96)=P(z0.6)=1-P(\leq0.6)\\\\=1- 0.7257469=0.2742531\approx0.2743$

Hence, the probability a randomly selected student in the city will read more than 96 words per minute = 0.2743

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