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TSI Math: Determining Probabilities from Information In a Table 2 Views


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Description:

Using this standard normal table, what is the probability that corresponds to a Z-score of 0.09?


Transcript

00:03

Okay sy match members ron to statistical measures and we're

00:08

going to live inside this normal table for a lot

00:11

of it So look at this thing right here Normal

00:13

table What is the probability that corresponds to a z

00:17

score of point O nine Well we've got a z

00:24

scored we need the probability we're trying to find the

00:26

probability of getting that z score or score less than

00:29

that z score Let's according to question here to remember

00:31

that a z score is just how far we are

00:34

away from the mean this thing in units of standard

00:38

deviation like the sigma things down here a standard normal

00:41

curve has been studied so closely that we can plop

00:44

ourselves down at an easy score on the x axis

00:47

and immediately determine the area under the curve to the

00:49

left of that value which is the same as the

00:52

probability of a z score less than or equal to

00:56

ours for any z score we can imagine so let's

00:59

think about this We'll need a standard normal table right

01:02

here Luckily this table will tell us the probability of

01:05

getting the z score we want because it's a left

01:08

area ze table So you have to check that if

01:10

this were a table that shows the area to the

01:12

right of a z score we have to subtract the

01:14

value we get from the table from one right one

01:18

is one hundred percent or entire area there under the

01:20

curve So r z scores point o nine We'll need

01:23

to zip line down to the second page where we

01:26

see the zero point zero row there right at the

01:29

top Then we crab crawl across to the column headed

01:33

by point Oh nine i think in a cell at

01:35

the intersection of that roman column is our probability which

01:39

is what is this point Five three five eight six

01:43

Alright we'll round that off a bit and it gives

01:45

us a probability of five three five nine Well we

01:48

must have looked in a completely different part of the

01:50

table to get all the other answers as none of

01:53

them are at the intersection of zero point to a

01:55

row Okay so the answer is C five three five 00:01:57.842 --> [endTime] nine that's it were statistically shmoop

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