Solution :
Given that ,
mean = = $100
standard deviation = = $300
.
P(x > 0) = 1 - P(x < 0)
= 1 - P[(x - ) / < (0 - 100) / 300)
= 1 - P(z < -0.33)
= 1 - 0.3707
= 0.6293
Probability = 0.6293
.
= / n = 300 / 25 = 60
P( > 0) = 1 - P( < 0)
= 1 - P[( - ) / < (0 - 100) / 60]
= 1 - P(z < -1.67)
= 1 - 0.0475
= 0.9525
Probability = 0.9525
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