SOLUTION: It is estimated that on a professor’s statistics exam, three-fifths of the students pass. Suppose a class has 53 students. What is the probability that at least 35 students pass?

Algebra ->  Probability-and-statistics -> SOLUTION: It is estimated that on a professor’s statistics exam, three-fifths of the students pass. Suppose a class has 53 students. What is the probability that at least 35 students pass?       Log On


   



Question 1069500: It is estimated that on a professor’s statistics exam, three-fifths of the students pass. Suppose a class has 53 students.
What is the probability that at least 35 students pass?
- p(x) = c (53)
x (3/5)^x ✕ (2/5)^53-x

What is the probability that at most 38 students pass?
In this particular exam, find the expected value and the standard deviation.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28X%29=C%2853%2CX%29%2A%283%2F5%29%5EX%2A%282%2F5%29%5E%2853-X%29
.
.
.
Using EXCEL to generate the values and sum the values from X=0 to X=35,
.
.
.
.
.
.
.
P=0.85045