A frequency distribution has a mean of 200 and a standard deviation of 20. The class...

A frequency distribution has a mean of 200 and a standard deviation of 20. The class limits for one class are 220 up to 240. What is the area associated with the class? Select one: a. -2.0 and -1.0 b. 1.0 and 2.0 c. 0.8185 d. 0.4772 e. 0.1359

Expert Solution

Here we have given that mean = 200 and standard deviation = 20

we have to find the probability between 220 and 240

So it is given by,

P(220 < X < 240 ) =

P(220 < X < 240 ) = P( 1 < Z < 2 ) = P( Z < 2) - P( Z < 1 )

P(220 < X < 240 ) = 0.9772 - 0.8413 = 0.1359 .............. see table for P( Z < 2) = 0.9772 and P( Z <1) = 0.8413

So answer is e) 0.1359

milcah answered 4 months ago

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