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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
(a) A single toss of a balanced coin has either 0 or 1 head, each with probability 1/2. What are the mean and standard deviation of the number of heads?
(b) Toss a coin four times. Use the rules for means and variances to find the mean and standard deviation of the total number of heads.
(c) Example 4.23 (page 261) finds the distribution of the number of heads in four tosses. Find the mean and standard deviation from this distribution. Your results in (b) and (c) should agree.
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Toss a 4-sided die twice. Role-playing games like Dungeons & Dragons use many
different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely and the two rolls are independent. What is the average (mean) intelligence for such characters? How spread out are their intelligences, as measured by the standard deviation of the distribution?
the balance point of its density curve. Use this fact to find the mean of Y from Figure 4.12.
(b) Use the same fact to find the means of X1 and X2. (They have the density curve pictured in Figure 4.9, page 264.) Verify that the mean of Y is the sum of the mean of X1 and the mean of X2.
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