Here are the questions.
BFW Publishers 2018 Will we get a snow day? Discrete random variables PROBLEM: High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variable X = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. Value X 0 1 2 3 4 5 6 7 8 9 10 Probability P, 772 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event "the school year has 0 snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days? Starnes/Tabor, The Practice of Statistics, 6/e 2018 BFW Publishers, Inc. BFW Publishers 2018 Another snowy day in Michigan Displaying a probability distribution PROBLEM: High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variable X = the number of snow days at a certain high school in Michigan for a randomly selected school year. Refer to the table on page 363, which shows the probability distribution of X. Make a histogram of the probability distribution. Describe its shape. BFW Publishers 2013 Extra credit Continuous random variables PROBLEM: A certain APa Statistics teacher is feeling generous one day and decides that each student deserves some extra credit. The teacher assigns each student a random extra credit value between 0 and 5 (decimals included] by using 5*rand on the calculator. Let 1': amount of extra credit for a randomly selected student. The probability distribution of Ycan be modeled by a uniform density curve on the interval from 0 to 5. Find the probability that a randomly selected student will get more than 3 points of extra credit. ames/Tabor, The Practice of Statistics, 679 CD 2018 BFW Publishers, Inc. BFW Publishers 2018 Weights of 3-year-old females Normal probability distributions PROBLEM: The weights of 3-year-old females closely follow a Normal distribution with a mean of m 5 30.7 pounds and a standard deviation of 3.6 pounds. Suppose we randomly choose a 3yearold female and call her weight X. What is the probability that she weighs at least 30 pounds? BFW Publishers 2018 Blazin' Bonus Finding and interpreting the mean PROBLEM: Buffalo Wild Wings ran a promotion called the Blazin' Bonus, in which every $25 gift card purchased also received a "Bonus" gift card for $5, $15, $25, or $100. According to the company, here are the probabilities for each Bonus gift card. Let X be the amount of money won on the Bonus gift card. Value X $5 $15 $25 $100 Probability P, 0.890 0.098 0.010 0.002 Calculate and interpret the expected value of X. Starnes/Tabor, The Practice of Statistics, 6/e 2018 BFW Publishers, Inc. BFW Publishers 2018 Blazin' Bonus, again Finding and interpreting the standard deviation PROBLEM: Buffalo Wild Wings ran a promotion called the Blazin' Bonus, in which every $25 gift card purchased also received a "Bonus" gift card for $5, $15, $25, or $100. According to the company, here are the probabilities for each Bonus gift card. Let X be the amount of money that is won on the Bonus gift card. Recall from the previous example that My = $6.37. Value X; $5 $15 $25 $100 Probability P; 0.890 0.098 0.010 0.002 Calculate and interpret the standard deviation of X
