Chapter 3, 4 and 5 Quiz | Baamboozle - Baamboozle

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

E. Poisson

Which of the following scenarios is best modelled by a Binomial distribution? A.The time it takes to finish a race B. The number of cars passing a traffic light between 8–9AM C. The number of times a fair coin lands on heads in 10 flips

C. The number of times a fair coin lands on heads in 10 flips

Which Excel function returns the value of 𝑋 for the 95th percentile, given 𝜇 = 100, 𝜎 = 15? A. =NORM.S.INV(0.95) B. =NORM.INV(0.95, 100, 15) C. =PERCENTILE(100, 0.95) D. =NORM.DIST(0.95, 100, 15, TRUE) E. =STANDARDIZE(100, 15, 0.95)

B. =NORM.INV(0.95, 100, 15)

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

A. 1.645

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

C. 2

Which Excel function returns the Z-score for 𝑋 = 72, 𝜇 = 65, 𝜎 = 8? A. =Z.TEST(72, 65, 8) B. =NORM.DIST(72, 65, 8, TRUE) C. =STANDARDIZE(72, 65, 8) D. =NORM.INV(72, 65, 8) E. =NORM.S.INV(0.72)

C. =STANDARDIZE(72, 65, 8)

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)

B. =NORM.DIST(72, 65, 8, TRUE)

What is the Z-score for 𝑋 = 90, 𝜇 = 70, 𝜎 = 10? A. 1 B. -2 C. 2 D. 0 E. 20

C. 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

D. Mean = 50, Variance = 16

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

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

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

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

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 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

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

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 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

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 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 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 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

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!

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

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