# Project #14001 - Statistics 101

Statistics 101 homework:

1. Determine the mean, median, and mode for the following data set,

then decide which is the best measure of central tendency if the data

reflects a set of measurements of a physical constant.

{1. 39, 1. 28, 1. 32, 1. 22, 1. 37, 1. 35, 1. 34, 1. 29, 1. 30, 6. 98, 1. 27, 1.31}

2. A combination lock has three wheels1 each containing the numbers zero through nine. How manypossible combinations are there for the lock?

3. A lottery drawing selects 4 out of 10 numbers (without rep1acement). If a player can choose four numbers but must only match three to win, what is the player’s probability of winning the lottery?

4. What is the cumulative relative frequency of each outcome for the roll of a fair

six-sided die?

5. Calculate the z-score in each case for a normal distribution with mean (J) and

standard deviation a.

a. X = 45, J = 50, a = 5

b. X= 1, J = 2, a= 0.1

c. X = 14, J = 12, a = 4

6. Calculate the probability P{X <= x) in each case for a normal distribution with

mean 3 and standard deviation = 0.5.

a. 1. 9

b. 4

c. 2. 9

7. Two independent discrete random variables X and Y have marginal

distributions f1 (x) = X/21 and f2(y) = y/36 for certain sets of values x

and y. Find the bivariate distribution f{ x, y).

8 . Determine the critical value c for a normally distributed random

variable with mean  = 0 and variance a2 = 100 for each of the

following significance levels.

a. 0.01

b. 0.05

c. 0.10

9 . What is the probability of a Type I error if the following significance

levels are chosen?

a. 0.05

b. 0.01

 Subject Mathematics Due By (Pacific Time) 10/08/2013 12:00 am
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