# Math 1372 – Statistics with Probability – Fall 2014

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• #18433

Due next Wednesday, Nov 19:

Sec 5.5 (Binomial Random Variables): #5, 9, 10, 21, 22

Use the spreadsheet function =binom(i, n, p, false) to calculate the probabilities for these exercises. Start by understanding how each is an example of a binomial experiment, and figure out what the parameters n, p & q are for the given binomial experiment/random variable.

Hint for #9: the probability that the msg is coded incorrectly is P(X=0) + P(X=1) + P(X=2), where X is the binomial random variable consisting of how many digits are transmitted correctly.

For #21 & #22, recall that the expected value and variance of a binomial random variable are:
E[X] = np
Var(X) = npq

Sec 6.2 (Continuous Random Variables): #1, 2, 3

Sec 6.3 (Normal Random Variables): #1, 2, 3-11

(#3-11 are multiple choice questions, but as the instructions say, draw a picture to justify your answer. For #3-7, draw a picture of the standard normal curve (as in Fig 6.5). For #8-11, sketch a normal curve with mu = 15 and sigma = 4; look at Fig 6.6)

Sec 6.4 (Probabilities for a Standard Normal Random Variables): TBA

• Expanded project proposal (see below)

#18435

For the expanded project proposal: please write a 1-2 paragraph description of what you plan to study for your project. This should serve as an outline for the specific topics you will examine in your project, and can also serve as a first draft of the introduction of your paper. It should also include a list of 2-3 sources that you plan to use (books, articles, webpages, data sets, etc)

I will post an example here shortly..

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