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?

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 words per minute (wpm) and a standard deviation of wpm.

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

z-score :

For x= 96 words per minute

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

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

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this