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.

Respuesta :

Answer: 0.3446

Step-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

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