Question
In: Statistics and Probability
A random sample size of n=10, population μ=65, σ=19. Determine P(x<68.9) Determine P(x ≥66.9)
A random sample size of n=10, population μ=65, σ=19.
Determine P(x<68.9)
Determine P(x ≥66.9)
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 65
standard deviation = 
= 19
n = 10
= 65
=
/ 
a ) P( < 68.9 )
P (
-
/
) < ( 68.9 - 65 / 6.0083)
P ( z < 3.9 / 6.0083 )
P ( z <0.65)
= 0.7422
Probability = 0.7422
b ) P ( 
66.9 )
= 1 - P (
66.9
)
= 1 - P (
-
/)
(66.9 - 65 / 6.0083)
= 1 - P( z
1.9 / 6.0083 )
= 1 - P ( z
0.32 )
Using z table
= 1 - 0.6255
= 0.3745
Probability = 0.3745
orchestra answered 1 year agoRelated Solutions
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