Question

Please help with question B.

The reading speed of second grade students in a large city is approximately normal, with a mean of 88 words per minute (wpm) amd a standard deviation of 10 wpm.

(A) What is the probability a randomly selected student in the city will read more than 93 words per minute?

The probability is 0.3085

(B) Intrepret the probability. Select the correct choice and fill in the answer box within your choice.

(1) If 100 different students were chosen from this population, we would expect ___ to read MORE than 93 words per minute.

(2) If 100 different students were chosen from this population, we would expect ___ to read EXACTLY 93 words per minute.

(3) If 100 different students were chosen from this population, we woulf expect ___ to read LESS than 93 words per minute.

Answer 1

A) p(x>93)=p(x-mu/Sigma>93-88/10)=p(z>0.5) 0.5- p(0<z<0.5)= 0.5-0.1915=0.3085

B) option 1

0.3085 % of hundred is 30.85 so,

If 100 different students were choosen from the population,we would expect 30 to 31 to read more than 93 words per minute.