In: Statistics and Probability
The weights of a large number of miniature poodles are approximately normally distributed with a man of 8 kilograms and a standard deviation of 0.9 kilograms. Find the fraction of these poodles with weight over 9.55 kilograms.
Solution :
Given that ,
mean = = 8
standard deviation = = 0.9
P(x > 9.55) = 1 - P(x < 9.55)
= 1 - P[(x - ) / < (9.55 - 8) / 0.9)
= 1 - P(z < 1.7222)
= 1 - 0.9575
= 0.0425
Answer = 0.0425