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What is the probability of drawing an ace from a standard deck of cards using classical definition?a) 1/4 b) 4/52 c) 1/13 d) 1/2 e) 13/52
b) 4/52
When can the Poisson distribution approximate the binomial?a) n large, p small b) p = 0.5 c) p close to 1 d) n small, p large e) p = 0
a) n large, p small
If λ = 3 for a Poisson distribution, what is P(X = 0)? a) 1 b) 0 c) e^-3 d) 3e^-3 e) (3^0 * e^-3)/0!
e) (3^0 * e^-3)/0!
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
b) Rare events over time
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
c) Hypergeometric
What defines a binomial experiment?a) Continuous outcomes b) More than two outcomes c) Trials are not independent d) Two possible outcomes e) Unequal probabilities
d) Two possible outcomes
A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?a) 5/16 b) 0.3125 c) 0.25 d) 0.5 e) 1/8
b) 0.3125
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
d) 2.8
Which of the following is an example of a discrete random variable?a) Height b) Weight c) Number of students in a class d) Distance e) Age
c) Number of students in a class
What is the number of ways to choose 3 students out of 8?a) 24 b) 336 c) 56 d) 72 e) 168
c) 56
If a die is rolled once, what is the probability of getting an even number?a) 1/6 b) 1/2 c) 2/3 d) 3/6 e) 1/3
d) 3/6
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
a) 60
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
b) 0.9
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
c) 0.43
Which of the following is a discrete random variable? A. The number of students in a class B. Height of a person C. Temperature during the day D. Distance walked in a week E. Blood pressure readings
A. The number of students in a class
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%
C. 0
