Question #334929

The weights of a large number of miniature poodle are approximately normally distributed with a mean of 8 kilograms and a standard deviation of 0.9 kilograms. If measurements are recorded to the nearest tenth of a kilogram, find the fraction of these poodle

1
Expert's answer
2022-04-29T10:01:54-0400

Let X=X=the weight of a miniature poodle: N(μ,σ2).\sim N(\mu, \sigma^2).  

a.

P(X>9.5)=1P(Z9.580.9)P(X>9.5)=1-P(Z\le\dfrac{9.5-8}{0.9})

0.0478\approx0.0478

b.

P(X8.6)=P(Z8.680.9)0.7475P(X\le8.6)=P(Z\le\dfrac{8.6-8}{0.9})\approx0.7475

c.


P(7.3X9.1)=P(Z9.180.9)P(7.3\le X\le9.1)=P(Z\le\dfrac{9.1-8}{0.9})

P(Z7.380.9)0.6708-P(Z\le\dfrac{7.3-8}{0.9})\approx0.6708


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS