Answer: 0.1056
Step-by-step 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 :
[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]
Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.
