In: Statistics and Probability
A particular fruit's weights are normally distributed, with a
mean of 218 grams and a standard deviation of 18 grams.
If you pick one fruit at random, what is the probability that it
will weigh between 257 grams and 273 grams
Solution :
Given that ,
mean = = 218
standard deviation = = 18
n = 1
= 218
= / n= 18 / 1=18
P(257< < 273) = P[(257-218) / 18< ( - ) / < (273-218) /18 )]
= P( -2.17< Z <3.06)
= P(Z <3.06 ) - P(Z < -2.17)
Using z table
=0.9989-0.015
=0.9839
probability= 0.9839