#8. On Back-to-School night the teacher is offering raffle tickets to class pare
ID: 3353735 • Letter: #
Question
#8. On Back-to-School night the teacher is offering raffle tickets to class parents to finance a field trip to the zoo. There are 100 tickets that cost $5 each. Assume all are sold. The stubs will be placed in a jar and the following SEVEN winning tickets will be drawn out: one $100, two $50 and four $25. (a) WHAT IS YOUR CHANCE OF WINNING ANYTHING WITH 1 TICKET? What is the AVERAGE chance of winning anything ? (b) WHAT IS YOUR POSSIBLE LOSS WITH 1 TICKET? AND, What is the AVERAGE loss for the group of 100 that bought these raffle tickets ? Hint: Set up your Probability Distribution Table and don’t forget to subtract the cost of the ticket from any winnings. X (AMOUNT WON – COST OF TICKET) P(X) (PROBABILITY OF X) X * P(X) ($ AMOUNT LOST) Various amounts won minus the cost of the ticket The TOTAL of this column equals the total net (avg) loss
#9. UMUC has 30 Stat 200 classes each term (not true – there are more). Class size differs: two classes have 30, eight have 35, fifteen have 40 and five have 45 Determine the following: (a) The total number of students in all these classes AND the average class size. (b) Assume full enrollment and pick a student name at random, what is the PDF that this student is in any one of the 25 classes where “x” equals the size of the class., e.g. P(x = 35) = 9/25, etc. Create and fill in the necessary Table x P(x) x * P(x) (x - )2 * P(x) column total = the MEAN (µ) column total = variance (In this TABLE the MEAN is the (µ) used in the last column to calculate the variance) (c) Calculate the Mean of “x” the other way (not from the table) : 1 class x 30 + 9 classes x 35 etc. / total classes = ?? (d) Calculate the Variance and the Standard Deviation of “x”
#10. REVIEW: Here is a box plot. Answer the following questions: 30 45 60 80 110 (a) What does each of the five numbers refer to ? (b) What is the RANGE ? (c) What is the IQR ? (d) What percent of data are between 45 and 80? Why? (e) What percent of data points are less than 60 ? (f) What percent of data points are greater than 80 ? (g) How many TOTAL data points are there in this set of sample data (trick question)? #11. WRITE OUT YOUR WEEK 3 DISCUSSION POST PROBLEM, ITS TYPE AND ITS DETAILED SOLUTION WITH THE CORRECT ANSWER.
Explanation / Answer
Solving question 1 , Please repost the rest individually
a) Chance of winning anything = 7/100=0.07
a) Average chance of winning anything is same as a = 0.07
b) Average win on one ticket = 1/100*100+ 2/100*50+4/100*25 - 5(cost of ticket) = 2 dollars
AVerage loss of group = 500 - (100+2*50+4*25) = 200
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