Question 1185760: 2. The entrance examination scores of incoming freshmen in a state college are normally distributed with a
mean of 78 and a standard deviation of 10. What is the probability that a randomly selected student has a
score:
a. below 78?
b. below 76?
c. between 75 to 80?
d. above 95?
e. What is the probability that the 45 randomly selected freshmen can have a mean of greater than 76?
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
The entrance examination scores of incoming freshmen in a state college are normally distributed with a
mean of 78 and a standard deviation of 10. What is the probability that a randomly selected student has a
score:
a. below 78?
b. below 76?
c. between 75 to 80?
d. above 95?
e. What is the probability that the 45 randomly selected freshmen can have a mean of greater than 76?
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Go to online (free of charge) normal distribution probability calculator
https://onlinestatbook.com/2/calculators/normal_dist.html
Input the given parameters of each part into the appropriate window of the calculator and get the answers
to questions (a), (b), (c) and (d).
The calculator has perfect description and design, so EVERY person, even beginner, may work with it on his or her own,
even having minimum knowledge on the subject.
Happy calculations (!)
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// I am not a promoter of this online calculator: my only wish is to teach you to do this simple job on your own,
because the level of complexity of this assignment is as 1 + 2 = 3 (even lower than 2 x 2 = 4).
Playing with this tool, you will gain all missing knowledge on the subject, which you need.
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