Let X and Y be independent normally distributed random variables with X- N(19,3°), Y N(-20, 4"). Compute the following probabilities. • P(X < 19.3) (±0.01) P(X > 18.4) = (10.01) P(-19.6

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Let X and Y be independent normally distributed random variables with
X~ N(19, 3*), Y ~N(-20, 4°).
Compute the following probabilities.
• P(X < 19.3)
(±0.01)
P(X > 18.4) =
(+0.01)
P(-19.6 <Y <-18)
(+0.01)
• P{{X< 19.3}n {Y 2 – 19.6}) -
(±0.01)
P({X< 19.3}| {Y 2 - 19.6}) =
(£0.01)
Transcribed Image Text:Let X and Y be independent normally distributed random variables with X~ N(19, 3*), Y ~N(-20, 4°). Compute the following probabilities. • P(X < 19.3) (±0.01) P(X > 18.4) = (+0.01) P(-19.6 <Y <-18) (+0.01) • P{{X< 19.3}n {Y 2 – 19.6}) - (±0.01) P({X< 19.3}| {Y 2 - 19.6}) = (£0.01)
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