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INDE315 Homework #3 Name (Last, First)_________________________________ Winter 2014Student ID#_________________________________ S-1Using the INDE 315...

You haveclaustrophobia (you are afraid of confined spaces)and as a result always sit in an aisle seat in class. Assume you have a very dynamic statistics professor and as a result all students show up to every class and every seat is filled (no empty seats). Over the next month (12 classes) use the class data set to calculate the following:
Assuming you are female, when sitting in an aisle seat, what is your probability of sitting next to a male. (2 points)
Assuming you are female, when sitting in an aisle seat, what is your probability of sitting next to a female. (2 points)
Assuming you are male, when sitting in an aisle seat, what is your probability of sitting next to a male. (2 points)
Assuming you are male, when sitting in an aisle seat, what is your probability of sitting next to a female. (2 points)
Assuming you are female, when sitting in an aisle seat, what is your probability of sitting next to a male exactly 2 times P(X = 2) over the next 12 classes. (6 points)
Assuming you are male, when sitting in an aisle seat, what is your probability of sitting next to a male exactly 2 times P(X = 2) over the next 12 classes. (6 points)
Assuming you are female, when sitting in an aisle seat, what is your probability of sitting next to a male 6 or less times P(X ≤ 6) over the next 12 classes. (6 points)
Assuming you are male, when sitting in an aisle seat, what is your probability of sitting next to a female 6 or less times P(X ≤ 6) over the next 12 classes. (6 points)
If you are female, when sitting in an aisle seat, what is the mean and standard deviation of the number of times you will sit next to a male student over the next 12 classes (6 points)
If you are male, when sitting in an aisle seat, what is the mean and standard deviation of the number of times you will sit next to a female student over the next 12 classes (6 points)
Statistically speaking, when sitting in an aisle seat, do males or females have a better chance of sitting next to someone of the opposite sex (6 points)
INDE315 Homework #3 Name (Last, First)_________________________________ Winter 2014 Student ID#_________________________________ S-1 Using the INDE 315 class data set consider the age of the students as a discrete random variable X, and answer the following questions: (a) What is the sample space for the age of the students (6 points) (b) Determine and graph the probability mass function of X, filling out the table below will help you graph the probability mass function (hint: the histogram function in Excel will make it easy to diagram your answer) (15 points) X # outcomes P(X=x) . 1855/129 P(X=17) 38 1 1/129 P(X = 38) . 120 129/129 = 1 (c) Determine and graph the cumulative distribution function of X [F(x)]. (12 points) Use the probability mass function and cumulative distribution function to determine the following probabilities: (d) P(X = 18) (f) P(X = 19) (g) P(X > 19) (h) P(X < 33) (i) P(18 X <33) (2 points) (2 points) (2 points) (2 points) (6 points) (e) Determine the mean, variance and standard deviation of the age of the students in the INDE 315 class (note: you need to calculate these values per the mean and variance formulas provided in the book and/or lectures, using excel functions to calculate the mean and variance will provide the wrong answer) (12 points) (15 points)
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