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A population of young people was studied where the variable weight has an average of 60...

A population of young people was studied where the variable weight has an average of 60 kilograms. The standard deviation is 5 kilograms, and the serura variable presented an average cone of 1.70 meters and its standard deviation 10 centimeters. Calculate the probability of finding young people weighing over 58 kilograms and measuring less than 1.80 meters.

Expert Solution

Here

We have to find P(X > 58)

where z is standard normal variable.

= P(z > -0.4)

= 1 - P(z < -0.4)

= 1 - 0.3446 (From statistical table of z values)

= 0.6554

= P(z < 0.01)

= 0.5040 (From statistical table of z values)

The probability of finding young people weighing over 58 kilograms and measuring less than 1.80 meters

= 0.6554 * 0.5040

= 0.3303

The probability of finding young people weighing over 58 kilograms and measuring less than 1.80 meters is 0.3303

milcah answered 1 year ago

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