The reading speed of second grade students in a large city is approximately normal, with a mean of 9090 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 9494 words per minute? The probability is nothing.
Accepted Solution
A:
Answer: 0.3446Step-by-step explanation:Given : Mean : [tex]\mu = 90[/tex]Standard deviation : [tex]\sigma = 10[/tex]Also, the reading speed of second grade students in a large city is approximately normal.Then , the formula to calculate the z-score is given by :_[tex]z=\dfrac{x-\mu}{\sigma}[/tex]For x = 94[tex]z=\dfrac{94-90}{10}=0.4[/tex]The p-value = [tex]P(z>0.4)=1-P(z<0.4)=1-0.6554217[/tex][tex]\\\\=0.3445783\approx0.3446[/tex]Hence, the probability a randomly selected student in the city will read more than 94 words per minute =0.3446