Normal Distribution : P(more than x) where x is less than the mean

In this tutorial we show you how to calculate the probability given that x is less than the mean from a normal distribution by looking at the following example.
A carton of orange juice has a volume which is normally distributed with a mean of 120ml and a standard deviation of 1.8ml. Find the probability that the volume is more than 118ml.

Category:

Education

Tags:

• Normal
• distribution
• probability
• A-level
• statistics
• examsolutions
• exam
• solutions

[UnlimitedEconZone]

Live longer please

you are saving generations who are taking math

thank you so much!!

[ExamSolutions]

@UnlimitedEconZone I hope to

[KurtLennon12]

@Examsolutions here you have got the value Z>-1.111 but what if you had got the value less than 0.5, which does not have the value even on the positive side of the graph......say -0.444 for example....if there's a video for that kind of problems I'd like to see them too!! Plz reply fast I have my exams after one week!!

[ExamSolutions]

@KurtLennon12 I have ones like this. Just look under the normal distribution on my website in the index and go through the tutorials.

[Trombonerist]

you just took 8.39 minutes to explain something my teacher spent about a year trying to

thank you

[sikms]

wow i understand everything ...but you just made one minor error, its 0.8665 not 0.8655 but good job explaining!

[ExamSolutions]

@couchxpotatoe Thanks. Good luck.

[couchxpotatoe]

@ExamSolutions I figured. Don't know why I confused that. Anyway, I owe you a million thanks.. Your videos are the only reason why my statistics class midterm didn't read like an alien language today.

[couchxpotatoe]

@ExamSolutions I figured. Don't know why I confused that. Anyway, I owe you a million thanks.. Your videos are the only reason why my statistics class midterm didn't read like an alien language today.

[ExamSolutions]

@couchxpotatoe Not at all. If you took the probability from 1 it would give you the probability of being less than 118.

[couchxpotatoe]

Wouldn't you subtract from1? Or would that give you the probability of something else?