Math Question (4 Questions)?

1.) A football team has a 60% chance of winning when it doesn't snow but only a 40% chance of winning if it does snow. Suppose there is a 60% chance of snow. WHAT IS THE PROBABILITY THAT THE TEAM WILL WIN?





2.) The senior class is 62% female. 35% of the females play a competitive sport. FIND THE PROBABILITY THAT A STUDENT PLAYS A COMPETITIVE SPORT, GIVEN THE STUDENT IS FEMALE?





3.) The daily power usage for 6 days in June were: 51.8, 53.6, 54.7, 50.9, 55.2, and 51.1. FIND THE STANDARD DEVIATION FOR THESE DATA. WHICH DATA FALL WITHIN STANDARD DEVIATION FROM THE MEAN?





4.) Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. In a group of 240 students, HOW MANY STUDENTS SCORE ABOVE 96?

Math Question (4 Questions)?
PROBLEM 1:


They win if:


0.6 x 0.4 (it snows and they win) = 0.24


Or:


0.4 x 0.6 (it doesn't snow and they win) = 0.24





Combined probability = 0.24 + 0.24 = 0.48 = 48%





PROBLEM 2:


35% of females play a competitive sport, so given they are female, the answer is 35%. You don't have to consider the ratio of male to female because you were told they were female.





PROBLEM 3:


First find the mean.


Then find the sum of the squares of the difference of each number from the mean.





PROBLEM 4:


96 is 2 standard deviations (2 x 10) above 76. You would expect 95% to be within 2 s.d. That leaves 5% that are below or above. In other words 2.5% would have a 96 or above.





2.5% of 240 = 6 students
Reply:these are not math questions, they are statistics questions.