ASSIGNMENT A
1. Suppose a point is to be selected at random from the unit square. Write the sample space
associated with this random experiment.
2. Let ?? = {0, 1, 2, 3, 4, =, ?? = the set of odd natural numbers, and ?? = the set of natural numbers
divisible by 5. What is the set ?? ? ???
3. A computer password consists of two lowercase letters followed by a capital letter and four digits.
Find the total number of possible passwords.
4. A picture can be added to a text in nine different locations on a page. If four different pictures
are to be placed in the text, how many different designs are there?
5. In how many ways a sample containing 8 non-defective and 2 defective part can be chosen from
a group containing 24 non-defective and 9 defective parts?
6. How many different ways can we order the letters of the word BANANAS?
R Problems: For full credit, all session commands and all related results must be copied and
pasted from R.
19
1. Compute (62
) à(17
)
55
2. If ?? is the vector (12, -3, 0, 14, -7, 4) and ?? is the vector (1, 0, 0.25, 7, 15, 0.6), find the vector
????.
3. Let ?? be the vector (3, 7, 0, 3, 5), ?? be the vector (a, t, c, u, g), and ?? be the vector (-8, 0, -4,
0, -5). Write the data frame whose columns are these vectors.
4
4. Let ??(??, ??, ??) = ??? 3 + ?? 4 + ?? 5 . Write this as a function in R and find ??(1.1, 2.3, 5.8)

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