Gen Ed Math Part 3b

If two independent events A and B have probabilities of 0.3 and 0.4 respectively, what is the probability of both events occurring simultaneously?

• 0.5
• 0.7
• 0.12
• 0.03

A box contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a red marble and then a blue marble without replacement?

• 5/10 × 3/9
• 5/10 × 3/8
• 5/10 × 3/10
• 5/10 × 3/7

In a permutation of 6 distinct objects where 3 are selected, how many unique arrangements are possible?

• 360
• 720
• 120
• 180

A dataset has a mean of 50 and a standard deviation of 10. If a value is 70, how many standard deviations away from the mean is it?

• 3
• 1.5
• 2
• 2.5

Which measure of central tendency is most resistant to extreme outliers?

• Range
• Median
• Mode
• Mean

If the probability of an event is 0.25, what is the probability of its complement?

• 1.0
• 0.25
• 0.75
• 0.5

How many ways can 4 people be selected from a group of 10?

• 210
• 5040
• 45

In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

• 50%
• 99.7%
• 68%
• 95%

If P(A) = 0.4 and P(B) = 0.6, and A and B are mutually exclusive, what is P(A or B)?

• 0.6
• 0.4
• 1
• 1.0

What is the mode of the following dataset: 2, 4, 4, 6, 6, 6, 8, 8?

• Multiple modes
• 4
• 8
• 6