Using Normal Distribution Mode on Casio Classwiz with Normal Random Variables To Find Probabilities

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⨸ Aʙᴏᴜᴛ Tʜɪs Vɪᴅᴇᴏ ⨸

In this video, we use the normal distribution mode on the Casio Classwiz to answer a question involving normal random variables and respective probabilities. The features used include the normal cumulative distribution and the inverse normal function.

⨸ Sᴜᴘᴘᴏʀᴛ Tʜᴇ Cᴀʟᴄᴜʟᴀᴛᴏʀ Gᴜɪᴅᴇ Bᴇʟᴏᴡ ⨸

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⨸ Cᴏɴɴᴇᴄᴛ ᴡɪᴛʜ Tʜᴇ Cᴀʟᴄᴜʟᴀᴛᴏʀ Gᴜɪᴅᴇ ⨸

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⨸ Fᴜʀᴛʜᴇʀ Rᴇsᴏᴜʀᴄᴇs & Tᴏᴏʟs ⨸

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𝘍𝘰𝘳 𝘷𝘪𝘥𝘦𝘰𝘴 𝘤𝘰𝘯𝘤𝘦𝘳𝘯𝘪𝘯𝘨 𝘢 𝘊𝘢𝘴𝘪𝘰 𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳, 𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳 𝘚𝘺𝘮𝘣𝘰𝘭𝘴, 𝘔𝘰𝘥𝘦𝘴, 𝘐𝘮𝘢𝘨𝘦𝘴 & 𝘗𝘳𝘰𝘥𝘶𝘤𝘵 𝘕𝘢𝘮𝘦𝘴. 𝘢𝘳𝘦 𝘊𝘰𝘱𝘺𝘳𝘪𝘨𝘩𝘵© 𝘊𝘢𝘴𝘪𝘰 𝘊𝘰𝘮𝘱𝘶𝘵𝘦𝘳 𝘊𝘰. 𝘓𝘵𝘥 . 𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳𝘴 𝘧𝘳𝘰𝘮 𝘰𝘵𝘩𝘦𝘳 𝘤𝘰𝘮𝘱𝘢𝘯𝘪𝘦𝘴 𝘮𝘢𝘺 𝘴𝘰𝘮𝘦𝘵𝘪𝘮𝘦𝘴 𝘧𝘦𝘢𝘵𝘶𝘳𝘦, 𝘪𝘯𝘤𝘭𝘶𝘥𝘪𝘯𝘨 𝘛𝘦𝘹𝘢𝘴 𝘐𝘯𝘴𝘵𝘳𝘶𝘮𝘦𝘯𝘵𝘴, 𝘕𝘶𝘮𝘸𝘰𝘳𝘬𝘴 & 𝘚𝘩𝘢𝘳𝘱. 𝘛𝘩𝘦𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳𝘎𝘶𝘪𝘥𝘦.𝘊𝘰𝘮 𝘦𝘢𝘳𝘯𝘴 𝘮𝘰𝘯𝘦𝘺 𝘧𝘳𝘰𝘮 𝘥𝘪𝘴𝘱𝘭𝘢𝘺 𝘢𝘥𝘴 & 𝘢𝘧𝘧𝘪𝘭𝘪𝘢𝘵𝘦 𝘭𝘪𝘯𝘬𝘴. 𝘓𝘪𝘯𝘬𝘴 𝘛𝘰 𝘗𝘳𝘰𝘥𝘶𝘤𝘵𝘴 & 𝘛𝘩𝘪𝘳𝘥 𝘗𝘢𝘳𝘵𝘺 𝘞𝘦𝘣𝘴𝘪𝘵𝘦𝘴 𝘴𝘶𝘤𝘩 𝘢𝘴 𝘈𝘮𝘢𝘻𝘰𝘯 𝘢𝘯𝘥 𝘰𝘵𝘩𝘦𝘳 𝘳𝘦𝘵𝘢𝘪𝘭𝘦𝘳𝘴 𝘢𝘳𝘦 𝘢𝘧𝘧𝘪𝘭𝘪𝘢𝘵𝘦 𝘭𝘪𝘯𝘬𝘴. 𝘐𝘧 𝘺𝘰𝘶 𝘤𝘭𝘪𝘤𝘬 𝘰𝘯 𝘵𝘩𝘦𝘴𝘦 & 𝘣𝘶𝘺 𝘢 𝘱𝘳𝘰𝘥𝘶𝘤𝘵 𝘵𝘩𝘦𝘯 𝘛𝘩𝘦𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳𝘎𝘶𝘪𝘥𝘦.𝘊𝘰𝘮 𝘳𝘦𝘤𝘦𝘪𝘷𝘦𝘴 𝘢 𝘴𝘮𝘢𝘭𝘭 𝘤𝘰𝘮𝘮𝘪𝘴𝘴𝘪𝘰𝘯 𝘢𝘵 𝘯𝘰 𝘦𝘹𝘵𝘳𝘢 𝘤𝘰𝘴𝘵 𝘵𝘰 𝘺𝘰𝘶. 𝘛𝘩𝘪𝘴 𝘩𝘦𝘭𝘱𝘴 𝘴𝘶𝘱𝘱𝘰𝘳𝘵 𝘵𝘩𝘦 𝘤𝘩𝘢𝘯𝘯𝘦𝘭 & 𝘢𝘭𝘭𝘰𝘸𝘴 𝘮𝘦 𝘵𝘰 𝘤𝘰𝘯𝘵𝘪𝘯𝘶𝘦 𝘵𝘰 𝘮𝘢𝘬𝘦 𝘷𝘪𝘥𝘦𝘰𝘴.

[hellwraiz]

Thank you for the video! Was a bit awkward to understand the calculator when it’s on Spanish, but after the video I understood all crystal clear!

[richalcat]

I think you may have answered my previous question about what the Normal PD function does, in response to a comment on one of your other videos. Presumably, the vertical axis is probability density and the calculator returns a value for this, for an inputted horizontal axis value, mean and s.d. Given that this function doesn't seem very useful, I was a bit surprised that it was the first ND option.

[davidkasinskas]

Really nice job mate, articulate explanation, 1080p and good example. Retaking S1 soon, this should help.

[aldulaimii]

Thank you too much, for the effort as well for your clear accent.

[darklord]

Any idea how to enter this question. “ on investigating The labour efficiency an organisation is found that there is typically a favourable mean of $65000 and a standard deviation of $5000.
What is the probability that the variance is less than $45000?”

[azeribelfort]

On my way to my A level statistics exam😅 Thank you sir!

[srikanthemani]

thank you, i can now calculate in calculator without z-table.

[richalcat]

Last time I did statistics, I used tables. I only recently found out that they appear to have become obsolete! Hope calculator is not an impediment to understanding ND e.g. converting to standard normal distribution, calculating mean and s.d. given two areas (involves solving a pair of simultaneous equations) etc.

[october]

Thank you for your videos, they are very helpful.

[noway]

For B, they'd take the integral from 140 to 150 of that function and divide by the same denominator as before.


Note that the standard deviation function is non-integrable.


These questions are four and five marks - how should one answer these in an exam? It's normally frowned upon to say "My calculator said <answer>" and often won't earn any marks.

[TimeForDie]

Hi man, what if the question asked P(S<144)? Then i would take the upper limit as 144 but what about the lower limit? Please reply ASAP as it is urgent! Thanks.

[Alan-gugq]

Hi with my casio fx-82EX I only get the first 3 options for the menu, is this normal or is there something going wrong?

[Szhehzin]

Is there any way to do this if I have a probability value and am looking for a mean/standard deviation? Is there a way I could do this by graphing a normalcd with x as a mean or an standard deviation? I could do this on Texas Instruments calculators but don't know how to do this on Casio.

[hardwarerathighlights]

how do i calculate P( a < x <35) = 0.2393 with the calculator ? (mean = 30 and sd = 10) p.s your videos are very helpful thank you

[n.anissyafina]

my classwiz calculator don't have the CALC button. is there anything i can do abt it?

[r.a.h]

Guys the distribution icon isn't even showing help me pls

[baconpancakes]

I got p=265.9855244m . Why is there a "m" pls help

[piyushsahu]

Don't we have to take the square root of the standard deviation?