Mathematics, 18.08.2020 19:01 hall1267

Compute the following probabilities: A. If Y is distributed N (-8,9), Pr (Y≤-12) = —— . (Round your response to four decimal places.)
B. If Y is distributed N (-4,9), Pr (Y>-1) = ——. (Round your response to four decimal places.)
C. If Y is distributed N (40,25), Pr (34≤Y≤44) = ——. (Round your response to four decimal places.)
D. If Y is distributed N (−3,4), Pr (Y>−4) = (Round your response to four decimal places.)

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Answer from: gabrielar80

a) P [ Y ≤ -12 ] = 0,32997 or P [ Y ≤ -12 ] = 32,99 %

b) P [ Y > -1 ] = 0,3707 or P [ Y > -1 ] = 37,07 %

c) P [ 34 ≤ Y ≤ 44] = 0,1585 or P [ 34 ≤ Y ≤ 44] = 15,85 %

d) P [ Y > -4 ] = 0,59871 or P [ Y > -4 ] = 59,87 %

Step-by-step explanation:

Normal Distribution: N ( -8 ; 9 )

a) P [ Y ≤ -12 ] = ( - 12 - (-8))/9

P [ Y ≤ -12 ] = - 4/9 = - 0,44

From z-table for the z score -0,44 we get:

P [ Y ≤ -12 ] = 0,32997 or P [ Y ≤ -12 ] = 32,99 %

b) Normal Distribution: N ( - 4 ; 9 )

P [ Y > -1 ] = 1 - P [ Y ≤ -1 ]

P [ Y ≤ -1 ] = ( - 1 - ( - 4 ) ) / 9

P [ Y ≤ -1 ] = 3 / 9 = 0,3333

From z-table for the z score 0,33 we get:

P [ Y ≤ -1 ] = 0,6293

P [ Y > -1 ] = 1 - P [ Y ≤ -1 ] = 1 - 0,6293

P [ Y > -1 ] = 0,3707 or P [ Y > -1 ] = 37,07 %

c) Normal Distribution: N ( 40 ; 25 )

P [ 34 ≤ Y ≤ 44]

P [ 34 ≤ Y ≤ 44] = P [ Y ≤ 44] - P [ Y ≤ 34 ]

P [ Y ≤ 44] = ( 44 - 40 ) / 25 = 0,16

From z-table for the z score 0,16 we get:

P [ Y ≤ 44] = 0,5636

P [ Y ≤ 34 ] = ( 34 - 40 ) / 25 = - 6 / 25 = - 0,24

From z-table for the z score -0,24 we get:

P [ Y ≤ 34 ] = 0,40517

Then

P [ 34 ≤ Y ≤ 44] = P [ Y ≤ 44] - P [ Y ≤ 34 ]

P [ 34 ≤ Y ≤ 44] = 0,5636 - 0,40517

P [ 34 ≤ Y ≤ 44] = 0,1585 or P [ 34 ≤ Y ≤ 44] = 15,85 %

d) Normal Distribution: N ( -3 ; 4 )

P [ Y > -4 ] = 1 - P [ Y ≤ -4 ]

P [ Y ≤ -4 ] = ( - 4 - ( -3))/4 = - 1/4 = - 0,25

From z-table for the z score -0,25 we get:

P [ Y ≤ -4 ] = 0,40129

P [ Y > -4 ] = 1 - 0,40129

P [ Y > -4 ] = 0,59871 or P [ Y > -4 ] = 59,87 %

Answer from: Quest

i understand 100% 10/10 hit or miss?

step-by-step explanation:

Who is and what is this person i'm just being weird nobody answer this

Answer from: Quest

answer is 144

step-by-step explanation:

$(x^{\frac{1}{8} }) (x^{\frac{3}{8} }) = 12\\$

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Compute the following probabilities: A. If Y is distributed N (-8,9), Pr (Y≤-12) = —— . (Round your...

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