Sketch the Probability Mass Function - Engineering Assignment Help

Assignment Task :

Question 1 
-Question 1a  
A recent national study showed that approximately 44.7% of college students have used Wikipedia as a source in at least one of their term papers. Let X equal the number of students in a random sample of size n = 31 who have used Wikipedia as a source.
a) How is X distributed?
b) Sketch the probability mass function (roughly).
c) Sketch the cumulative distribution function (roughly).
d) Find the probability that X is equal to 17.
e) Find the probability that X is at most 13.
f) Find the probability that X is bigger than 11.
g) Find the probability that X is at least 15.
h) Find the probability that X is between 16 and 19, inclusive.
i) Give the mean of X, denoted E(X).
j) Give the variance of X.
k) Give the standard deviation of X.
l) Find E(4X + 51.324)

Question 1b
A plate of hors d’oeuvres contains two types of filled puff pastry –chicken and shrimp. The entire platter has 15 pastries –8 chicken and 7 shrimp. From the outside, the pastries appear identical and they are randomly distributed on the tray. Choose three at random.
What is the probability that 
a) all are chicken;
 b) all are shrimp; 
c) all have the same filling?

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