Question 1

A spinner is divided into 6 equal regions: 3 red, 2 green, and 1 yellow (see $$image_1). $$What is the probability that the spinner lands on a green region? Write your answer as a reduced fraction.

Accepted Answer

$$\frac{1}{3}$$

Question 2

If the spinner from $$image_1 is $$spun twice, what is the probability that it lands on green first and then yellow? Write your answer as a reduced fraction.

Accepted Answer

$$\frac{1}{18}$$

Question 3

A die is rolled. What is the probability that the number showing is greater than 3?

Accepted Answer

$$\frac{1}{2}$$

Question 4

A bag contains 3 gold marbles, 10 silver marbles, and 23 black marbles. What is the probability of drawing a gold marble?

Accepted Answer

$$\frac{3}{36}$$

Question 5

A bag contains 2 gold marbles, 6 silver marbles, and 22 black marbles. If you randomly select one marble, what is the expected value of the game if you win $$3 for gold, 2 $$for silver, and lose $1 for black?

Accepted Answer

$$-0.20$$

Question 6

A student is randomly selected from a class where 24 students completed homework and passed, 6 completed homework and did not pass, 6 did not complete homework and passed, and 14 did not complete homework and did not pass. What is the probability a student passed the course given that they completed their homework? (Round to two decimal places.)

Accepted Answer

$$0.80$$

Question 7

Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she then draws a second card. What is the probability that the second card is another 4?

Accepted Answer

$$\frac{3}{51}$$

Question 8

A single die is rolled twice. What is the probability that the sum is even?

Accepted Answer

$$\frac{1}{2}$$

Question 9

Janelle draws one card from a standard deck of 52 cards. What is the probability of drawing either a two or a queen?

Accepted Answer

$$\frac{2}{13}$$

Question 10

Terry draws a spade from a standard deck of 52 cards. Without replacing the first card, she then draws a heart. What is the probability of drawing a spade and then a heart?

Accepted Answer

$$\frac{13}{204}$$

Question 11

You randomly select one card from a 52-card deck. What is the probability of selecting a diamond or a picture card (jack, queen, king)?

Accepted Answer

$$\frac{19}{52}$$

Question 12

A math class consists of 16 female students and 15 male students. Two students are selected at random. What is the probability that a male is selected first and then a female? (Round to the nearest thousandth.)

Accepted Answer

$$0.258$$

Question 13

Using the spinner in $$image_2$$, what is the probability of landing on an even number?

Accepted Answer

$$\frac{1}{2}$$

Question 14

From the disks in $$image_3$$, what is the probability of selecting a yellow disk?

Accepted Answer

$$\frac{3}{8}$$

Question 15

From the disks in $$image_3$$, what is the probability of selecting a disk that is yellow or even numbered?

Accepted Answer

$$\frac{5}{8}$$

Question 16

Scores of students in a calculus exam are normally distributed with a mean of 86 and standard deviation of 3. Using the 68-95-99.7 Rule, what percentage of students score between 86 and 95?

Accepted Answer

$$47.5\%$$

Question 17

A variable $$x is $$normally distributed with mean 21 and standard deviation 7. What is the $$z-$$score for $$x = 24$$?

Accepted Answer

$$0.43$$

Question 18

Test scores are normally distributed with mean 20 and standard deviation 8. What percentage of students score below 26? (Use the z-score table in $$image_4.)$$

Accepted Answer

$$77.34\%$$

Question 19

Test scores are normally distributed with mean 20 and standard deviation 8. What percentage of students score above 27? (Use the z-score table in $$image_4.)$$

Accepted Answer

$$15.87\%$$

Exam 3 Review: Probability, Statistics, and Data Analysis Study Guide

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