Chapter 17

Question 1

What does if mean if two events are mutually exclusive?

Answer 1

Can’t both happen at the same time - P(A and B) = 0.

Question 2

What is P(A or B) when a and b are mutually exclusive?

Answer 2

P(A) + P(B).

Question 3

What is conditional probablility?

Answer 3

How probability of one event changes when you know the other’s outcome.

Question 4

What is independence?

Answer 4

Two events don’t affect each other.

Question 5

What is P(A and B) for independent events?

Answer 5

P(A) x P(B).

Question 6

If A and B are independent, what else is independent?

Answer 6

.A’ and B’.
.A and B’.
.A’ and B.

Question 7

What is a complement?

Answer 7

Event not happening?

Question 8

What is P(A) + P(A’) equal to?

Answer 8

1.

Question 9

What is the total of the probabilities in a probability distribution equal to?

Answer 9

1.

Question 10

What are two ways of showing probability distribution?

Answer 10

.Sample space table.
.Equations.

Question 11

What is the value of X and x?

Answer 11

X = name of random variable (dependent on chance).
x = value.

Question 12

When can you use binomial distribution?

Answer 12

.Fixed number of trials.
.Outcomes either success or failure.
.Trials are independent.
.Probability of success in each trial is the same.

Question 13

How do you write the binomial distribution?

Answer 13

X tilda B(n,p).

Question 14

What is cumulative probability?

Answer 14

.P(X>11) = 1 - (X< equal to 11).
.P(5<X<10) = P(X< equal to 9) - P(X< equal to 5).

Question 15

What is the binomial distribution formula?

Answer 15

P(X = x) = (n p)p^x(1-p)^n-x for x = 0,1,2…n. - proves that it always adds to 1?