# Probability and Statistics Assignment Follow instructions answers should be answered below questions in word.doc turn it in in word doc. ASSIGNMENT A 1. An

Probability and Statistics Assignment Follow instructions answers should be answered below questions in word.doc turn it in in word doc. ASSIGNMENT A

1. An electrical unit consists of four components each of which is subject to failure. Suppose that,

at a specified time, we observe this unit to determine which components are working and which

have failed. Write the sample space associated with this random experiment.

2. Suppose the sample space is = { | − 8 ≤ ≤ 8}. Let = { |−2 < < 2}, = { | − 3 <
< −1}, and = { |1 < < 3}. Determine the sets ( ∩ ∩ ′)′
3. Let = {0, 1, 2, 3, 4, … }, = the set of natural numbers divisible by 2, and = the set of
natural numbers divisible by 5. What is the set ∩ ? What is the set ∪ ?
4. In a certain residential suburb 60% of all households subscribe to the metropolitan newspaper,
77% subscribe to the local paper, and 44% to both newspapers. What proportion of
households subscribe to exactly one of the two newspapers?
5. How many different license plates made up of three letters and four digits are there?
6. A picture can be added to a text in nine different locations. If four different pictures are to be
placed in the text, how many different designs are there?
7. In how many ways a sample containing 6 non-defective and 2 defective part can be chosen from
a group containing 22 non-defective and 7 defective parts?
8. How many barcodes can be formed using five ’s, four ’s and seven ’s?
9. Suppose the number of ways of selecting 3 items from a group when order is important is 210.
What would this number be if the order was not important?
10. Two people are riding an elevator that can stop at floors two, three and four. What is the
probability that they will get off at different floors?
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