Suppose a point is to be selected at random from the unit square. Write the sample space associated with this random experiment.

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 , 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 non-defective and defective part can be chosen from a group containing non-defective and 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.
1Compute
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.Let . Write this as a function in R and find

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