{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Binomial distribution

# Binomial distribution - You are given a Binomial Variable...

This preview shows page 1. Sign up to view the full content.

You are given a Binomial Variable where n=6 and p=0.45: You can use the binomial table in the back of the book to get the following: I II III X=x P(X=x) P(X≤x) 0 0.027681 P(X=0)= 0.027681 1 0.135887 P(X=0)+P(X=1)= 0.027681 + 0.135887 = 0.163568 2 0.277950 P(X=0)+P(X=1)+P(X=2)= 0.027681 + 0.135887 + 0.277950 = 0.441518 3 0.303218 P(X=0)+P(X=1)+P(X=2)+P(X+3)= 0.027681 + 0.135887 + 0.277950 + 0.303218 = 0.744736 4 0.186066 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) = 0.744736 + 0.186066 = 0.930802 5 0.060894 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) +P(X=5)= 0.930802 + 0.060894 = 0.991696 6 0.008304 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) +P(X=5) +P(X=6)= 0.991696 + 0.008304 = 1 Column I is all the values your Binomial Random Variable X can take on. Column II is the pdf (probability density function) values. Column II is the cdf (cumulative density function) values. You get column III by adding the proper numbers from column II. You will have to know how to use column III, The CDF, to get different probability questions . Here is an example where your answers must be rounded to 4 decimal places : 1. What is the probability X is less than 3, P(X<3).
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern