Friday, June 17, 2016

Exercise 2

Measures of Dispersion

1) The math test scores of five students are : 92, 88, 80, 68 and 52.

2) x = {14, 6, 3, 2, 4, 15, 11, 8, 1, 7, 2, 1, 3, 4, 10, 22, 20}

(a) Find the mean
(b) Find the median
(c) Find the interquartile range: Q1 & Q3
(d) Find the semi-interquartile range
(e) Construct a box and whisker for the data set


Probability

1) The probability the student may pass mathematics is 2/3 and the probability he will pass physics is 3/4. If the probability that he will pass both subjects is 1/2, what is the probability that he will pass at least one subject?

2) A vacuum cleaner salesmen MJ must make two calls per day, one in the morning and one in the afternoon. MJ has probability of 0.4 of selling a cleaner on any call. The morning and afternoon results are independent of each other. Find the probability that, in one day:

a) MJ sells just one cleaner
b) MJ doesn't sell any cleaner

Permutation & Combination

1) In the Match of the Day's goal of the month competition, you had to pick the top 3 goals out of 10. How many ways can you choose the top 3 goals?

2) In class of 20 students, a first and second prize are to be awarded. In how many different ways can this be done?

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