Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find the indicated probability. P(x>34)
Given : mean = 50, standard deviation = 7
Using normal distribution,
P( x < a) = \phi(\frac{a- mean}{\sigma})
Thus, P( x > 34) = 1 - P( x < 34)
= 1 - phi{ ( 34 - 50)/7}
= 1 - phi(-2.28)
= 1 - 0.0113
= 0.9887
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