Assume that s parameter x is described by a continuous function f. A mean value of...
Assume that s parameter x is described by a continuous function f. A mean value of parameter x is 24.2. The standard deviation of that parameter is 4.6%. Assume that parameter x is normally distributed. What is the probability of x to be between 26.5 and 26.73?
Homework Answers
Solution :
Given that ,
mean = 
= 24.2
standard deviation = 
= 4.6
P( 26.5 < x < 26.73) = P[(26.5 - 24.2)/ 4.6 ) < (x -
) / <
(26.73 - 24.2) / 4.6) ]
= P(0.50 < z < 0.55)
= P(z < 0.55) - P(z < 0.50)
Using z table,
= 0.7088 - 0.6915
= 0.0173
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