Chapter 4

Question 1

Bernoulli trial

Answer 1

An experiment with only two outcomes

Question 2

When a Bernoulli trial is repeated more than once

Answer 2

Binomial distribution

Question 3

Characteristics of binomial distribution

Answer 3

• fixed number of trials
• trials are independent
• only two outcomes possible
• probability of success remains constant
• trials are identical

Question 4

Find mean, variance and standard deviation of binomial distribution

Answer 4

Mean: np
Variance: npq
Standard deviation: square root of npq

Question 5

Hypergeometric distribution

Answer 5

Binomial distribution but when the probability of success changes with each trial

Question 6

Poisson distribution

Answer 6

The discrete probability distribution that applies to occurrences of some events over a specified interval

Poisson distribution uses lambda

Question 7

Characteristics of Poisson distribution

Answer 7

• the random variable x represents the number of occurrences of an event over some interval
• the occurrence must be random
• the occurrence must be independent of each other
• the occurrence must be uniformly distributed over the interval

Question 8

Properties of standard normal distributions

Answer 8

• area under curve is 1
• P(a<Z<b)= area under the curve b/w a and b
• P(Z=a)=0
• if the probability of Z is bigger than or equal to a than is means the probability of Z is bigger than a