Chapter 10

Question 1

Counting principle

Answer 1

Events * events* events

Question 2

Finding number of Permutations

Answer 2

!

Question 3

Permutations of n objects taken r at a time

Answer 3

nPr= n!/(n-r)!

Question 4

Permutations with repetition

Answer 4

n!/s1! * s2!….

Question 5

Solving for n

nP6=5(nP5)

Answer 5

n!/(n-6)!=5(n!/n-5)!
(n-1 n-2….5)= 5(n-1…4)
n-5=5
n=10

Question 6

Combinations of n objects taken r at a time

Answer 6

nCr= n!/(n-r)! *r!

Question 7

When finding the number of ways both an event A AND event B can occur, you need to —- their combinations

Answer 7

Multiply

Question 8

When finding the number of ways that event A OR event B can occur, you — their combinations

Answer 8

Add

Question 9

The binomial Theorem

Answer 9

(A+b)n

nCr a^n-r b^r

Question 10

Find the coefficient of in (a+b)^n

Answer 10

Use the nCra^n-rb^r

Question 11

Odds in favor

Answer 11

A/ not A

Question 12

Odds against

Answer 12

Odds not A/ A

Question 13

Experimental prob

Answer 13

A/ total trials

Question 14

Geometric prob

Answer 14

Area what want to hit/ area of entire board

Question 15

Prob of compound events p(b or a)

Answer 15

P(a)+p(b) -p(a and b)

Question 16

Prob of disjoint events

P(a or b)

Answer 16

P(a) + p(b)

Question 17

Probably Of complement

Answer 17

P(-a)

1-p(A)

Question 18

Probability of independent events

P(a and B)

Answer 18

P(a)*p(b)

Question 19

Probability of depending evens

P(a and b)

Answer 19

P(a) * p(b|a) (events in both over events in a)

Question 20

P(b|a)

Answer 20

Probability of both/ a
Probability of b given that a
(Conditional probability)

Question 21

Histogram

Answer 21

Percent or fraction on y

No spaces between bars

Question 22

For binomial experiment, the probability of exactly k successes in n trials is

Answer 22

nCkp^k(1-p)^n-k

Question 23

Right skewed

Answer 23

The tail at right

Everything to the left

Question 24

Left skewed

Answer 24

Tail at left

Everything at right