Suppose in the university of manitoba, 40% of the students live in apartments. if 600 students are randomly selected, then the approximate probability that the number of them living in apartments will be between 200 and 400 is: (a) .9267(b) .9996(c) .9799(d) .9854(e) .987

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and

And we want this probability:

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

And then

And we are interested on the following probability:

So then the correct answer would be:

B) .9996

marco saved more.   he saved $35 more.

step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35