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AJACW22
Group Title
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)
 one year ago
 one year ago
AJACW22 Group Title
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)
 one year ago
 one year ago

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becca1703 Group TitleBest ResponseYou've already chosen the best response.1
a. 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.
 one year ago

becca1703 Group TitleBest ResponseYou've already chosen the best response.1
b. P(x≤11) = P(z≤(1114)/2) =P(z≤1.5) =1 0.93319 (ve so do 1 minus) = 0.06671
 one year ago

becca1703 Group TitleBest ResponseYou've already chosen the best response.1
c. 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
 one year ago

becca1703 Group TitleBest ResponseYou've already chosen the best response.1
d. P(x ≥ 9.12)  P(x ≤ 16.77) =P(z ≥ 2.44)  P(z ≤ 1.385) =0.99266 + 0.91774  1 =0.07492
 one year ago

becca1703 Group TitleBest ResponseYou've already chosen the best response.1
actually that last line should be 0.9104
 one year ago

AJACW22 Group TitleBest ResponseYou've already chosen the best response.0
Thank you. I have another one with different numbers. Sorry I didnt get a chance to solve the first one.
 one year ago
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