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Probability Distribution
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If $Z$ is a standard normal variate. Find the value of $c$ for the following $ P(0< Z < c)=0.25$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-1
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asked
Apr 22, 2013
by
poojasapani_1
edited
Sep 19, 2013
by
sreemathi.v
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1 Answer
0
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Toolbox:
Standard normal distribution:
In a standard normal distribution $\mu=0,\sigma ^2=1$
The random variable $X$ can be converted to the standard normal variable $Z$ by the transformation
$Z=\large\frac{X-\mu}{\sigma}$
http://clay6.com/mpaimg/10.5_q2(1).jpg
From the table ,
$P(0 < Z < 0.67)=0.2486$
$P(0 < Z <0.68)=0.2518$
$c$ is closer to $0.67$.
We take $c=0.67$
answered
Sep 19, 2013
by
sreemathi.v
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