Answering a HARD AQA Paper 3 A-level STATISTICS Question from 2021!!! (Normal Distribution!!!)

Hi! I am @alevelmathstutoruk and I produce videos covering the A-level Maths syllabus in the UK. I am a first class BSc Mathematics graduate from a Russell Group UK university and I am currently working as an online maths tutor.

In today's video I provide my solution to Q18 from the AQA Paper 3 A-level Maths exam from 2021 - the final question on the exam in the stats section.

In this question, we are given that the weights of both jars of jam and jars of marmalade follow normal distributions. We are given the mean and standard deviation for the normal distribution for the jam jars, and we are required to calculate a probability using this information. However, we aren't given the mean and standard deviation for the marmalade jars, and so we are given two probability facts and we are required to use the inverse normal function on the calculator, and some simultaneous equations to find the unknown mu and sigma values.

I can help with (i) A-level Pure Maths (ii) A-level Mechanics (iii) A-level Statistics (iv) Most of A-level Pure Further Maths (complex numbers, matrices, hyperbolic functions and differentiatial equations) - but if in doubt please do drop me an email anyway and I will let you know if I can help out. Plus I can help with all three major exam boards: AQA, Edexcel, OCR.

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[alevelmathstutoruk]

*CORRECTION*
At 1:22 I said that Normal variables represent “discrete data” - but of course this is wrong! I should have said “continuous data”!

Luckily I correct myself seconds later, but just to clarify, Normal variables DO represent Continuous Data!

[itachigonzales]

was strugglung so much for this question thanks so much i understand what z does now :)