2. The table shows the probabilities of winning or losing when the team is playing away or is playing at home. Home Away Total
Win 0.51 0.34 0.85
Loss 0.09 0.06 0.15
Total 0.6 0.4 1.00

(a) Are the events “winning” and “playing at home” independent? Show your calculations to justify why or why not.
(b) Are the events “losing” and “playing away” independent? Show your calculations to justify why or why not.

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

What is the upper quartile in the box plot?

Out of $20$ creepy-crawly creatures in a room, $80\%$ are flies and $20\%$ are spiders. if $s\%$ of the total legs belong to spiders, what is $s$?