5.1k views
14 votes
PLEASE HELP

Chipotle Burritos are normal distributed with a mean length of 200mm and a standard deviation of 8mm. What is the probability that a burito picked at random is shorter than 190mm?

User Allan W
by
9.1k points

1 Answer

4 votes

Answer: 0.1056

Explanation:

Given: Chipotle Burritos are normal distributed with

Mean = 200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :


P(x<190)=P((x-\mu)/(\sigma)<(190-200)/(8))\\\\=P(z<-1.25)\ \ \ [z=(x-\mu)/(\sigma)]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

User Karmavil
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.