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Author Question: The number of books sold over the course of the four-day book fair were 194, 197, 247, and 76. ... (Read 93 times)

daltonest1984

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on: Jul 25, 2018
The number of books sold over the course of the four-day book fair were 194, 197, 247,
  and 76. Assume that samples of size 2 are randomly selected with replacement from this
  population of four values.
 
  List the different possible samples, and find the mean of each of
  them.

Question 2

Suppose that you roll a die and record the number that comes up and then flip a coin and record whether it comes up heads or tails. One possible outcome can be represented as 2H (a two on the die followed by heads).
 
  Make a list of all the possible outcomes. What is the probability that you get tails and an even number? What assumption are you making when you find this probability?


duke02

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Reply #1 on: Jul 25, 2018
Answer to Question 1

Possible samples: 194-194; 194-197; 194-247; 194-76; 197-194; 197-197; 197-247; 197-76; 247-194; 247-197; 247-247;
247-76; 76-194; 76-197; 76-247; 76-76
Means: 194, 195.5, 220.5, 135, 195.5, 197, 222, 136.5, 220.5, 222, 247, 161.5, 135, 136.5, 161.5, 76

Answer to Question 2

The possible outcomes are 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T.
The probability of tails and an even number is 0.25. This assumes that all outcomes are equally likely which means that the die and the coin must be fair.


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