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A shop has 5 different printers but there is space for only 3 printers on the display shelf. How many arrangements are possible i. Suppose you have 4 different flags. How many different signals could you make using (i) 2 flags (ii) 2 or 3 flags ii. iii. How many arrangements of the letters of the word B E G I N are there if (i) 3 letters are used (ii) all of the letters are used A quiz team of four is chosen from a group of 15 students. In how many ways could the team be chosen? iv. If there are eight girls and seven boys in a class, in how many ways could a group be chosen so that there are two boys and two girls in the group? v. A school committee consists of six girls and four boys. A social sub-committee consisting of four students is to be formed. In how many ways could the group be chosen if there are to be more girls than boys in the group?
1. Find the number of different ways in which a gold, a silver and a bronze medal can be awarded to 15 competitors if each competitor can win only one medal. 2. In how many different ways may 10 different letters be placed in 15 different boxes, not more than one letter being placed in any box? You may leave the answer in factorial form.
Butch will miss an important TV program while taking his statistics exam, so he sets both his VCRs to record it. The first one records 70% of the time, and the second one records 60% of the time. What is the probability that he gets home after the exam?
Make a box and whiskers plot from this data. 15, 20, 9, 32, 27, 19, 16, 28, 31, 7, 11, 19
If the mean of a set of 12 numbers is 13, then the sum of the numbers is?
The results of 41 students' math tests (with a best possible score of 70) are recorded below: 31, 49, 19, 62, 50, 24, 45, 23, 51, 32, 48, 55, 60, 40, 35, 54, 26, 57, 37, 43, 65, 50, 55, 18, 53, 41, 50, 34, 67, 56, 44, 4, 54, 57, 39, 52, 45, 35, 51, 63, 42 Prepare an ordered stem and leaf plot for the data and briefly describe what it shows. Are there any outliers? If so, which scores?
The weights (to the nearest tenth of a kilogram) of 30 students were measured and recorded as follows: 59.2, 61.5, 62.3, 61.4, 60.9, 59.8, 60.5, 59.0, 61.1, 60.7, 61.6, 56.3, 61.9, 65.7, 60.4, 58.9, 59.0, 61.2, 62.1, 61.4, 58.4, 60.8, 60.2, 62.7, 60.0, 59.3, 61.9, 61.7, 58.4, 62.2 Prepare an ordered stem and leaf plot for the data. Briefly comment on what the analysis shows.
Suppose that two machines I and II in a factory operate independently of each other. Past experience showed that during a given 8-hour time, machine I remains inoperative one third of the time and machine II does so about one fourth of the time. What is the probability that at least one of the machines will become inoperative during the given period.
A multiple choice quiz has 400 questions, each question with five possible answers of which one is correct answer. What is the probability that a sheer guess yields exactly 80 correct answers using normal approximation.
What is the probability that a card chosen at random from a standard deck of cars will be
either a king or a heart?
Records taken from the number of male and
female births in 800 families having four
children are given below :
No. of Births
Frequency
Male Female
0 4 32
1 3 178
2 2 290
3 1 236
4 0 64
Test whether the data is consistent with the
hypothesis that the binomial law holds for
the chance of a male birth is equal to that of
a female birth at the 5% level of significance.
