solve the following activity

Page 1 MGSC 239

Activity 8

Topic 1 – Calculating Binomial Probabilities, mean and standard deviation

https://cnx.org/contents/[email protected]:ccz1Gii5@14/Probability-Distribution-Funct

1. Demonstrate how to find probabilities using the Binomial formula. Use the example above to find P(0), P(1) and P(2) to 5 significant digits. Substitute into the Binomial formula and simplify.

2. Find the mean and standard deviation of X when X~B(5, 0.7).

Use the table of probabilities to answer 3 – 10.

Topic 2 – Calculating Probabilities, mean and standard deviation from a probability function,

Given the probability function below, construct a probability distribution in table form. Find the mean and standard deviation for the random variable X.

P(X = x) = .2(.8)x-1 for x > 0

Example: P(X= 1) = .2(.8)0

X	P(X)
1	.2
2
3
4
5
6
7
8
9
10
…

Topic 3 – Complete the table, and answer the questions that follow.

X	P(X=x)	xP(X=x)	x-	(x-	x (x-
0	.3
1	.2
2
3	.4

Show how to find the variance of X using the definitional formula:

Show how to find the variance of X using the “Short-cut” formula:

I was able to complete this activity successfully: Yes or No

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