Find the missing values. If X~N(16, 2²) then P(X<17) = ? Select one: a. 0.6915 b
ID: 3313087 • Letter: F
Question
Find the missing values.
If X~N(16, 2²) then P(X<17) = ?
Select one:
a. 0.6915
b. 0.5987
c. 0.4013
d. 0.3085
Given X~N(16,2²) fill in the missing values below to solve the following:
Find a such that P(X < a) = 0.7995.
Select one:
a. 14.32
b. 19.36
c. 17.68
d. 12.64
Find the missing values.
If X~N(16, 2²), then P(X>16.5) = ?
Select one:
a. 0.5987
b. 0.5498
c. 0.4013
d. 0.4502
Find the missing values.
If X~N(16, 2²), then P(X>15) = ?
Select one:
a. 0.3085
b. 0.4013
c. 0.5987
d. 0.6915
Find the missing values.
If X~N(16, 2²), then P(X>16.5) = ?
Select one:
a. 0.5987
b. 0.5498
c. 0.4013
d. 0.4502
Find the missing values.
If X~N(16, 2²), then P(X<14.5) = ?
Select one:
a. 0.6462
b. 0.7734
c. 0.2266
d. 0.3538
Find the missing values.
If X~N(16, 2²), then P(15.5 < X < 17) = ?
Select one:
a. 0.1485
b. 0.2902
c. 0.0928
d. 0.0489
Find the missing values.
If X~N(16, 2²), then P(17 < X < 18) = ?
Select one:
a. 0.5328
b. 0.0928
c. 0.1498
d. 0.2902
Find the missing values.
If X~N(16, 2²), then P(14.5 < X < 18.4) = ?
Select one:
a. 0.1115
b. 0.3718
c. 0.6583
d. 0.0796
Given X~N(16,2²), find a such that P(X <a) = 0.8461
Select one:
a. 20.08
b. 18.04
c. 13.96
d. 11.92
Given X~N(16,2²) fill in the missing values below to solve the following:
Find a such that P(X >a) = 0.8461.
Select one:
a. 13.96
b. 20.08
c. 18.04
d. 11.92
Explanation / Answer
1)P(X<17) =P(Z<(17-16)/2) =P(Z<0.5)=0.6915
2)at 0.7995 percentile ; z=0.84
for missing value =mean +z*Std deviation =16+2*0.84 =17.68
3)P(X>16.5)=P(Z>0.25)=0.4013
4)P(X>15) =P(Z>-0.5)=0.6915
5) P(X>16.5) =P(Z>0.25)=0.4013
6)P(X<14.5) =P(Z<-0.75)=0.2266
7)P(15.5<X<17)=P(-0.25<Z<0.5)=0.2902
8)P(17 < X < 18) =0.1498
9)P(14.5 < X < 18.4)=0.6583
10) P(X <a) = 0.8461 ; a =18.04
11)P(X>a) =0.8461 ; a =13.96
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