Ask Plex AI about problem 1
Get hints, ask questions, and work through this problem step by step
Access custom-built, exam-style problems for distributions & random variables. Each problem has a full solution and mark-scheme, as well as AI grading and support.
Select a Difficulty
2 / 42 problems visible - Upgrade to view all problems
!!
0 / 8
The masses, in grams, of chocolate bars produced by a factory can be modelled by a normal distribution with mean 100g and standard deviation 0.6g. A chocolate bar can only be packaged if its mass is greater than 99g, otherwise is it melted back into the production line.
Find the probability that a randomly selected chocolate bar is packaged.
On a given day, the number of chocolate bars packaged is 5000.
Estimate, to the nearest 10, the number of chocolate bars that are melted back that day.
Given that a bar has a mass of less than 101g, find the probability it will be melted down.
!
0 / 6
James is sitting a multiple choice exam with 15 questions. Each question has 3 answer choices, of which only one is correct.
James randomly picks an answer on each question. Let X represent the number of questions James answers correctly.
State whether X is discrete or continuous.
Write down the value of E(X).
Find the probability that
X=7,
3<X<10.