SOLUTION: The measure of the length of the index finger of a human right hand is normally distributed with a mean of 6cm and a standard deviation of 0.5cm What is the probability that the in

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Question 327173: The measure of the length of the index finger of a human right hand is normally distributed with a mean of 6cm and a standard deviation of 0.5cm What is the probability that the index finger length of a randomly selected person will between 5cm and 7.5cm?
a) .9759 b) .0241 c) .95 d) 1.0 e) none of the above
Please show work so i can understand
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z-score for each,
z=%28x-mu%29%2Fsigma
.
.
.
z1=%285-6%29%2F0.5=-2
z2=%287.5-6%29%2F0.5=3
Find P(z1) and P(z2).
P%28z1%29=0.02275
P%28z2%29=0.99865
To find the probability for the range, subtract.
P=0.99865-0.02275
P=0.9759
.
.
.
a) is the correct answer.