Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7.
Find the indicated probability.
P (x>38)
Solution :
Given that ,
mean = = 50
standard deviation = = 7
P(x >38 ) = 1 - P(x< 38)
= 1 - P[(x -) / < (38-50) /7 ]
= 1 - P(z < -1.71)
Using z table
= 1 - 0.0436
= 0.9564
probability= 0.9564
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