Ch. 5.4 (Successes And Failures: Bernoulli Trials)

Question 1

Bernoulli Trial

Answer 1

A (binomial trial) random experiment with exactly 2 possible outcomes: success and failure, in which the probability of success is the same everytime.

Requirements:

• 2 possible outcomes
• probability of success (p) is the same for all trials
• probability of failure (1-p) is the same for all trials
• trials are independent, probability of either outcomes remains unchanged by outcome of other trials

Question 2

Binomial Experiment

Answer 2

Consists of a fixed number n of independent Bernoulli trials, each with a probability of success (p) and counts the number of successes (x)

Formula:
(n/x) • p^x • q^n-x

*q = 1-p

In calc… n, “prb” 2, x (reads “ncr” on screen)

Question 3

Binomial Random Variable

Answer 3

Random variable (x). Its distribution is the binomial distribution

Question 4

P(x < c)

Answer 4

P(x < or equal to c - 1)

Question 5

P(x = c)

Answer 5

P(x < or equal to c) - P(x < or equal to c - 1)

Question 6

P(x > or equal to c)

Answer 6

1 - p(x < or equal to c - 1)

Question 7

P(x > c)

Answer 7

1 - p(x < or equal to c)

Question 8

P(x < or equal to c)

Answer 8

P(x = c) + everything below c