Stat test 2

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Probability is always a value between ____ it may appear as a ____

0-1- fraction-decimal or percent

How to find the z score when given area to right or to left

Find closest number and then find corresponding closest z score when locating are to the right subtract one form the given area before locating it on the table.

The word "or" is used in ?

Independent events

The word "given" is used in ?

Conditional probabilities

Finding the value if we know the mean, standard deviation and the z score we can find the value score

Convert percentage into z score by finding closest corrusponding number use in formula x=mean + (z multiplied by standard dev)

What is the difference between theoretical probability and empirical probability?

Empirical prop tells us how often an event occurs in an actual set of experiments or observations. Theoretical probabilities are based on theory telling us about events that occur indefinitely

How do you find the area to the right in a standers normal dis curve?

Locate number on z chart this is the area to the left must subtract 1 in order to find the area to the right. This is your answer

Turning left and turning right Getting heads and tails These are examples of what?

Mutually exclusive events

For dependent events

P(A and B) p (B/A)=-------------- P(A) ! A is always the numerator

Addition rule of mutually exclusive events

P(A or B) = P(A) + P(B)

Addition Rule (Not Mutually Exclusive)

P(A or B) = P(A) + P(B) - P(A and B)

Complement rule

P(A^c) = 1 - P(A) The probability that an event will not occur is 1 minus the probability that the event will occur.

If p(A) is 0 the event is certain

not to occur

Permutation

The number of permutations of R objects chosen from n

Central limit theorem

The sampling distribution of the mean will approach the normal distribution as n increases (n>30).

to find the area to the right we have to subtract

because the z chart shows areas to the left

Mutually exclusive events

events that cannot happen at the same time

Unusual events

events that occur less than 5% of the time

In permutation the order is

important

How to find the area between in a normal dist curve?

locate area on z chart subtract big from small= final answer

Theoretical Probability

long run relative frequencies

Probability is used to _____________

measure how often random events occur

Area, proportion and probability are all the same in

normal distribution

In combination the order of selection is

not important

Independent events

p(A or B)= p(A) + p(B)

Emprical Probability

relative frequencies based on an experiment of observation

When we are looking for an area that is greater we are looking for the area to the

right

The z score of x is

score- mean divided by standard deviation

Law of Large Numbers

the larger the number of individuals that are randomly drawn from a population, the more representative the resulting group will be of the entire population or close to the true probability

If p(A) is 1 the event is certain

to occur

central limit theorem formula

x minus mean divided by the square root of the sample


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