Jiayang's answer to Chowder's Junior College 1 H1 Maths question.

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Jiayang
Jiayang's answer
1883 answers (Tutor Details)
Chowder
Chowder
6 years ago
Omg sorry i forget to tell you that im using the right tail z table. The neg one i havent learn yet. If ure free can u help me explain using the right tail table pls pls pls
Jiayang
Jiayang
6 years ago
So apparently for right tailed it's pretty much the same. Instead of looking at eg. p(x<10) it's now p(x>10).

So our Qn the arrow was < to use the right tailed you need to do the 1 minus to change the arrow to >

So you'll end up with 1-0.15= 0.85

But now your table doesn't have values >0.5 cus it's right tailed you have to look at 1-0.85 which is 0.15
Then you do the same o interpolation and take the negative
Chowder
Chowder
6 years ago
Yup. But 1-0.15 i got 0.85. And the probability for 0.85 is 0.1997. And i didnt get the exact same ans as yours?
Jiayang
Jiayang
6 years ago
You're reading the values wrongly. See how I got 1.03 and 1.04

The numbers on the borders are Nott he probability density, they are the z values

The values inside are the probability density values, look for 0.15 there
Jiayang
Jiayang
6 years ago
Which you won't be able to find cus they only give 0.1515 and 0.1492. that's when you should interpolate between these two values to get the corresponding z value
Chowder
Chowder
6 years ago
Wait omg means i read wrongly all this while? But i thought 0.15 is the z value? Ok sorry but last Q how do u know if the Q is referring to the z value or the probability? They didnt state that the 15℅ is the probability or the z value. How to know
Jiayang
Jiayang
6 years ago
The Q said 15% of the jumps so it means 15% of the time he jumps below 5m. So statistically speaking, the next time he jumps we can say he got 15% probability of jumping lower than 5m

Which course are you in btw. I'm curious
Chowder
Chowder
6 years ago
The question doesnt really always tell the z value? Is it correct if i say if theyre using perventage its always probability and not z value? Im taking chemical engineering course
Jiayang
Jiayang
6 years ago
Of all the qns I've encountered they won't tell me the z value. Most won't tell me I have to standardise first either. I guess if you have missing mean and/or SD then you'll have to use the standard z table. Cus calcs need the mean and SD for calculations.
Chowder
Chowder
6 years ago
Oh okok thank you