Compute the following probabilities: If Y is distributed N (-4,9), Pr (Y > -2) = ?...

Question

Question

Compute the following probabilities:

If Y is distributed N (-4,9), Pr (Y > -2) = ? (Round to four decimal places)

math Statistics-And-Probability

Answer 1

Answer #1

Solution :

Given that ,

Y is distributed N (-4,9),

mean = $\mu$ = -4

standard deviation = $\sigma$ = 9

P(Y > -2) = 1 - p( Y < -2)

=1- p P[(Y - $\mu$ ) / $\sigma$ < (-2 - (-4)) / 9 ]

=1- P(z < 0.22)

Using z table,

= 1 - 0.5871

= 0.4129

Answer 2

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Compute the following​ probabilities: If Y is distributed N (-4​,9​), Pr ​(Y > -2​) ​= ?...