Sketch the Probability Mass Function – Engineering Assignment Help

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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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