A college professor wants to survey a sample of students taking her large lecture course. There are about 150
1 answer:
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Answer:
81.8%
Step-by-step explanation:
Mean =
Standard deviation =
Now we are supposed to find out what percent of the numbers fall between 35 and 50
Substitute the values
Now for P(35<x<50)
Substitute x = 35
Substitute x = 50
So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
=
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50
It follows from the definition of the binomial coefficient:
So we have
That is, gets absorbed into the numerator's factorial, and we introduct
into the denominator. Now,
, so we get
as required.