Home / Assignment Help / Your parents are always complaining that you do not do enough housework. they say that you should be helping them out because you are only a student and you have a lot more spare time than them. the number of hours per week that your parents work has a mean of 48.69 hours and a standard deviation of 2.90 hours. you believe that the number of hours per week that you have to study for university has a mean of 48.17 hours and a standard deviation of 2.60 hours. you plan to record the number of hours that you study each week over 15 randomly selected weeks throughout the year. calculate the probability that the mean of your sample is greater than the mean number of hours per week worked by your parents. assume that the population of study hours per week is normally distributed. give your answer as a decimal to 4 decimal places. probability

Your parents are always complaining that you do not do enough housework. they say that you should be helping them out because you are only a student and you have a lot more spare time than them. the number of hours per week that your parents work has a mean of 48.69 hours and a standard deviation of 2.90 hours. you believe that the number of hours per week that you have to study for university has a mean of 48.17 hours and a standard deviation of 2.60 hours. you plan to record the number of hours that you study each week over 15 randomly selected weeks throughout the year. calculate the probability that the mean of your sample is greater than the mean number of hours per week worked by your parents. assume that the population of study hours per week is normally distributed. give your answer as a decimal to 4 decimal places. probability

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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