A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. How many possible ways are there to select the 6 out of 11 students (order does not matter) without replacement? b. What is the probability that X = 6 c. What is the probability that X=1?

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A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number
of the selected students who are female.
a. How many possible ways are there to select the 6 out of 11 students (order does not matter) without replacement?
b. What is the probability that X = 6
c. What is the probability that X=1?
d. What is the probability that X > 3?
e. What is the expected value of X?
f. What is the standard deviation of X?
g. What is the probability that X is within 2.0 standard deviations of its expected value?
h. What is the probability that X = 1.5?
Add any comments below.
5:32 PM
D.
10/1/2020
P Type here to search
144
%24
4.
%23
7.
8.
Transcribed Image Text:A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. How many possible ways are there to select the 6 out of 11 students (order does not matter) without replacement? b. What is the probability that X = 6 c. What is the probability that X=1? d. What is the probability that X > 3? e. What is the expected value of X? f. What is the standard deviation of X? g. What is the probability that X is within 2.0 standard deviations of its expected value? h. What is the probability that X = 1.5? Add any comments below. 5:32 PM D. 10/1/2020 P Type here to search 144 %24 4. %23 7. 8.
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