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Mathematics 16 Online
OpenStudy (anonymous):

If the random variable x is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(x ≥ .75) is:

OpenStudy (amistre64):

z = (x-mean)/sd

OpenStudy (amistre64):

z = (.75 - .45)/.40

OpenStudy (amistre64):

the rest is gotten from a ztable or a calculator i believe; you got a ti83?

OpenStudy (anonymous):

I got a ti89 :)

OpenStudy (anonymous):

and the table too

OpenStudy (amistre64):

press: 2nd, vars, normalCDF ( .75,9999,.45,.40 ) http://www.wolframalpha.com/input/?i=normalCDF+%28+.75%2C9999%2C.45%2C.40+%29 .2266 i believe

OpenStudy (amistre64):

i got a ti83 :) cant afford an 89 lol

OpenStudy (anonymous):

Thanks for the help. Currently trying to figure out how to do on calc

OpenStudy (amistre64):

might be under home

OpenStudy (amistre64):

http://answers.yahoo.com/question/index?qid=20070918160009AAr6Q8b this one says under apps

OpenStudy (anonymous):

How would we do it from just the table alone?

OpenStudy (amistre64):

determine the "z" z = (.75 - .45)/.40 = .7500 and depending on how your table is set up this can go a few ways

OpenStudy (amistre64):

do you know if your z is measured from the middle (the mean) of from the left end?

OpenStudy (anonymous):

Left end

OpenStudy (anonymous):

Ok I think i got it. .75 on the table corresponds to .7734. 1-.7734=.2266

OpenStudy (amistre64):

ok; the z score itself is read: 0.70 on the left side; and .05 on the top; and where they cross at is your "area" covered to the left

OpenStudy (amistre64):

yes

OpenStudy (anonymous):

Thanks :)

OpenStudy (amistre64):

.05 | | 0.70 ----- .7734 area to the left of .75: .7734 area to the right is: 1 - .7734 your welcome :)

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