11 Chapter Test

Do you know HOW?

Evaluate each expression.

1. 6!
2.   7 C 3 sub 7 , cap c sub 3
3.   11 P 9 sub 11 , cap p sub 9

Q and R are independent events. Find P (Q and R).

4. P(Q) = 0.5, P(R) = 0.4
5. P ( Q ) = 1 3 , P ( R ) = 3 8 p open q close equals , 1 third , comma p open r close equals , 3 eighths

Use the table below for Exercises 6–8.

6. Find P(5 or more).
7. Find P ( 5  or more  |  age  < 30 ) . p open 5 . ormore . vertical line , age , less than 30 close .
8. Find P (  age  ≥ 30   |   0 − 4 ) . p open , age , greater than or equal to 30 vertical line 0 minus 4 close .

Two standard number cubes are tossed. State whether the events are mutually exclusive.

9. One of the numbers is 1 less than the other. The sum is odd.
10. The sum is greater than 10. Six is one of the numbers.

11. Find Q 1 cap q sub 1  and Q 3 cap q sub 3  for this set of values:

    36, 38, 42, 47, 51, 56, 62, 69, 70, 74.

12. Open-Ended Write a set of values that has a range of 10, a mean of 86, and a mode of 85.

A set of data has a normal distribution with a mean of 29 and a standard deviation of 4. Find the percent of data within each interval.

13. from 25 to 33
14. greater than 29

A newspaper wants to take a poll about which candidate voters prefer for President. Identify any bias in each sampling method.

15. The newspaper interviews people at a political debate.
16. The newspaper calls people selected at random from the local telephone book.
17. At a high school, 30% of the students buy class rings. You select five students at random. Find P(exactly two buy rings) and P(at least two buy rings).

Do you UNDERSTAND?

18. Indicate whether each situation involves a combination or a permuation.
    1. A team of 6 chosen from a class of 36
    2. An 8-digit code chosen for a lock
19. A data set is normally distributed with a mean of 37 and a standard deviation of 8.1. Sketch a normal curve for the distribution. Label the x-axis values at one, two, and three standard deviations from the mean.
20. Open-Ended A student guesses the answers to three questions on a true-false test. Design and describe a simulation to find the probability that the student guesses at least one of the questions correctly.
21. Writing Describe how a situation can have more than one sample space. Include an example.

22. Airline Ticket Pricing The table contains information from a study of the prices of comparable airline tickets. Which sample most likely was greater in size, A or B? Explain.

    Sample	Standard deviation
    A	$10.81
    B	$3.97

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