What is the probability of a continuous random variable taking on an exact value? A. 1 B. Depends on the distribution C. 0 D. 0.5 E. 100%

What is the number of ways to choose 3 students out of 8?a) 24 b) 336 c) 56 d) 72 e) 168

In an experiment of tossing a coin 100 times, heads appeared 43 times. What is the empirical probability of heads?a) 0.5 b) 43% c) 0.43 d) 0.57 e) 43/2

A population consists of 10 red balls and 5 green balls. If 4 are selected without replacement, what distribution is used?a) Binomial b) Normal c) Hypergeometric d) Poisson e) Exponential

What is the mean of X if X = {1, 2, 3, 4} and P(X) = {0.1, 0.2, 0.3, 0.4}?a) 2.5 b) 3.0 c) 3.1 d) 2.8 e) 2.9

Which Z-score corresponds to the 95th percentile in a standard normal distribution? A. 1.645 B. 1.96 C. 0.95 D. 2.58 E. 0.645

How many 3-digit numbers can be formed using digits 1 to 5 without repetition?a) 60 b) 125 c) 20 d) 100 e) 10

What is the Poisson distribution used to model?a) Fixed number of trials b) Rare events over time c) Replacement sampling d) Venn diagram logic e) Uniform distributions

Which Excel function gives the cumulative probability for 𝑋 = 72, 𝜇 = 65, 𝜎 = 8? A. =NORM.S.DIST(72, TRUE) B. =NORM.DIST(72, 65, 8, TRUE) C. =NORM.INV(72, 65, 8) D. =STANDARDIZE(72, 65, 8) E. =Z.TEST(72, 65, 8)

A question mentions “an average of 4 errors per page” and asks for the probability of getting exactly 2 errors on a page. What type of distribution should you use? A. Normal B. Binomial C. Exponential D. Uniform E. Poisson

If P(A) = 0.3 and P(B) = 0.6 and A and B are mutually exclusive, what is P(A or B)?a) 0.18 b) 0.9 c) 0.3 d) 0.6 e) 1.2

Which statement best describes 𝑋 ∼ 𝑁 ( 50 , 16 )? A. Mean = 16, SD = 50 B. Mean = 16, Variance = 50 C. Mean = 50, SD = 16 D. Mean = 50, Variance = 16 E. Mean = 4, SD = 50

If test scores are normally distributed with 𝜇 = 50, 𝜎 = 5, what is the Z-score for a score of 60? A. -2 B. 1.5 C. 2 D. 0 E. 1