SOLUTION: The average weight of black bears (Ursus americanus) found in a certain area in the western Upper Peninsula of Michigan, is 310 lbs. Assume that the population standard deviation

Algebra ->  Probability-and-statistics -> SOLUTION: The average weight of black bears (Ursus americanus) found in a certain area in the western Upper Peninsula of Michigan, is 310 lbs. Assume that the population standard deviation       Log On


   

Question 954948: The average weight of black bears (Ursus americanus) found in a certain area in the western Upper Peninsula of Michigan, is 310 lbs. Assume that the population standard deviation is 32 lbs. and also assume that the population of weights exhibits an approximate normal distribution.
Find the probability that a black bear selected at random is between 250 lbs. and 350 lbs
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the two z scores,
z%5B1%5D=%28250-310%29%2F32=-1.875
z%5B2%5D=%28350-310%29%2F32=1.25
Find the corresponding probability,
P%5B1%5D=0.030396
P%5B2%5D=0.89435
So then,
P=P%5B2%5D-P%5B1%5D
P=0.864