Define a sample space for each of the following experiments.(a) Toss a coin and record the face on the top side of the coin.(b) Draw a card from a standard deck of 52 cards and record the suit ofthe card drawn.(c) The heights in inches of the children Mary, John, Paul, and Susan are48, 52, 49, and 50, respectively. Select a child at random from this group ofchildren, then measure and record the child's height.(d) Toss a coin and then roll a die. Record the face on the coin and thevalue on the top side of the die.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line below
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You want to do a survey of members of the baseball team at Georgetown College to see how they feel about academic life at GC. You want to ensure that you take a simple random sample. There are several sampling strategies that you have in mind. Which one of the following strategies is a simple random sample of size 12? Group of answer choices ( ) You obtain a list of all GC baseball players. You then write the name of each player on a slip of paper and put the papers in a hat. You thoroughly shuffle the names and then select 12 slips of paper from the hat without replacement. ( ) You obtain a list of all GC baseball players and you select one of the first 5 names at random. Then, you select every fifth name on the list after that until you have 12 people selected. ( ) You obtain an alphabetically-ordered list of all GC baseball players and pick the first 12 names on the list. ( )You find out that there are 20 JV players and 40 Varsity players on the baseball…

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