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anonymous
 3 years ago
Suppose x is a normally distributed random variable with μ = 14 and σ =2. Find each of the following probabilities.
a. P (x ≥ 14.5) b. P (x ≤ 11) c. P (14.42 ≤ x ≤ 19.46) d. P (9.12 ≤ x ≤ 16.77)
anonymous
 3 years ago
Suppose x is a normally distributed random variable with μ = 14 and σ =2. Find each of the following probabilities. a. P (x ≥ 14.5) b. P (x ≤ 11) c. P (14.42 ≤ x ≤ 19.46) d. P (9.12 ≤ x ≤ 16.77)

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0a. P(x ≥14.5) = 1P(x≤14.5) =1P(z≤(14.514)/2) =1P(z≤0.25) =10.59871 (using normal table) = 0.50129 I'll try to do the others next.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0b. P(x≤11) = P(z≤(1114)/2) =P(z≤1.5) =1 0.93319 (ve so do 1 minus) = 0.06671

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0c. Split into P(x ≥14.42)  P(x ≤19.46) =P(z ≥ (14.4214)/2)  P(z ≤ (19.461)/2) =P(z ≥ 0.21)  P(z ≤ 2.73) =0.58317 + 0.99683  =0.58

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0d. P(x ≥ 9.12)  P(x ≤ 16.77) =P(z ≥ 2.44)  P(z ≤ 1.385) =0.99266 + 0.91774  1 =0.07492

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0actually that last line should be 0.9104

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you. I have another one with different numbers. Sorry I didnt get a chance to solve the first one.
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