Solution :
i
P(x < -9.8) = P[(x - ) / < (-9.8 - (-8)) / ]
= P(z < -0.15)
= 0.4404
P(x < -9.8) = 0.4404
ii
P(x > -8.2) = 1 - P(x < -8.2)
= 1 - P[(x - ) / < (-8.2 - (-8)) / 12)
= 1 - P(z < -0.0167)
= 1 - 0.4933
= 0.5067
P(x > -8.2) = 0.5067
iii
P(-7 < x < 0.5) = P[(-7 - (-8))/ 12) < (x - ) / < (0.5 - (-8)) / 12) ]
= P(0.0833 < z < 0.7083)
= P(z < 0.7083) - P(z < 0.0833)
= 0.7606 - 0.5332
= 0.2274
P(-7 < x < 0.5) = 0.2274
< 0) = 1/3, and Exercise 9.8. Suppose X has an N(u,02) distribution, P(X P(X < 1) = 2/3. What are the values of u and o?!
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50
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