Question

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?

Answer 1

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.