SOLUTION: he mean (μ) of the scale is 55 and the standard deviation (σ) is 14. Assuming that the scores are normally distributed, what is the PROBABILITY that a score falls below 3

Algebra.Com
Question 457118: he mean (μ) of the scale is 55 and the standard deviation (σ) is 14. Assuming that the scores are normally distributed, what is the PROBABILITY that a score falls below 39?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
he mean (μ) of the scale is 55 and the standard deviation (σ) is 14. Assuming that the scores are normally distributed, what is the PROBABILITY that a score falls below 39?
----------------
z(39) = (39-55)/14 = -1.1429
===================================
P(x < 39) = P(z < -1.1429) = 0.1265
==========
Cheers,
Stan H.

RELATED QUESTIONS

Jeff's bowling scores are approximately normally distributed with mean 140 and standard... (answered by Boreal)
99.7% of the scores on an exam are between 60 and 98 points. Assuming the data is... (answered by Boreal,Theo)
The incubation time for Rhode Island Red chicks is normally distributed with a mean of 21 (answered by stanbon)
Assume the random variable X is normally distributed with mean μ equals=50 and... (answered by Fombitz)
Dr Carl is a mathematics and statistics lecturer. He is interested in studying a new... (answered by stanbon)
The mean score on a history test was 74.3 and the standard deviation was 5.7. Assuming... (answered by stanbon)
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are... (answered by richard1234)
Assume that adults have IQ scores that are normally distributed with a mean of 105 and a... (answered by ewatrrr)
Suppose the heights of men are normally distributed with mean, μ= 70 inches, and... (answered by Boreal)