data mngmt ch 6

Question 1

what are some fun characteristic of probability distribution

Answer 1

only has one trial, expected value is always 1

Question 2

probability distribution expected value equation

Answer 2

E(x) = Σ x*p(x)

x = outcome #
p(x) = probability of x

Σ = the sum of

Question 3

what is an example of probability distribution

Answer 3

what is the probability distribution of the sum when you roll two dice

Question 4

what is an expample of the probability distribution expectation value

Answer 4

what is the expected value of rolling a sum of [] when rolling two dice

Question 5

what is uniform probability and its characteristics

Answer 5

all the probabilities for each trial have the same percent, expected value will always equal 1

Question 6

what is the equation for uniform probability

Answer 6

p(x) = 1/n

n = # of outcomes

Question 7

what is an example of uniform probability distribution

Answer 7

what is the probability distribution for the outcomes of rolling a single die

Question 8

what is binomial probability distribution about

Answer 8

to find the # of successes that occures during n trials

Question 9

what are the characteristics of binomial probability distrobution

Answer 9

two possible outcomes, independent trials

Question 10

what is the binomial probability distribution formula

Answer 10

p(x) = nCr * p^x * q^n-x

q = failure rate
n = # of trials
x = # of successful trials
p = success rate

Question 11

what is an example of a binomial probability distribution question

Answer 11

determine the probability distribution for getting a 4 when you roll a dice 10 times

Question 12

what is the expected value formula for binomial probability distribution

Answer 12

E(x) = np

p = success rate
n = # of trials

Question 13

what is an example of a question for the expected value of binomial probability distribution

Answer 13

what is the expected value of getting three 4s when you roll a dice 10 times

Question 14

what is geometric probability supposed to find

Answer 14

find the probability of the first success that occures after X amount of trials

-> waiting time is the number of trials before a success

Question 15

what are characteristics of geometric probability distribution

Answer 15

two possible outcomes, independent trials

Question 16

what is the formula for geometric probability

Answer 16

p(x = x) = q^x * p

p = success rate
q = failure rate
n = # of trials
x = n - 1

the best way to find out what value is p and q is to ask yourself what will END the trial - that variable will be “p” because youre failing until you get it right

Question 17

what is the best way to find out what variables are q and p for geometric probability distribution

Answer 17

ask yourself what will END the trial - that variable will be “p” because youre failing until you get it right

Question 18

what is an example of geometric probability distribution

Answer 18

find the probability of rolling a 4 on the third try

Question 19

what is the expected value formula for geometric probability distribution

Answer 19

E(x) = q/p

failure rate / success rate

Question 20

what is an example of the expected value for geometric probability distribution

Answer 20

what is the expected waiting time before you roll a 4

Question 21

what are characteristics of hypergeometric distribution

Answer 21

two possible outcomes, dependent trials

would use hypergeometric for choose questions

Question 22

what is the formula for hypergeometric distribution

Answer 22

p(X = x) = (aCx * n-aCr-x) / nCr

n = population size
a = # of successful outcomes in n
n - a = # of fail outcomes
X = # of successful outcomes
r = # of trials that are allowed

Question 23

what is the expected value formula for hypergeometric distribution

Answer 23

E(X) = ra/n

r = dependent trials
n = total
a = success