In a class there are 20 students: 3 are 5' 6", 5 are 5'8", 4 are 5'10", 4 are 6', and 4 are 6' 2". a student is chosen at random. what is the student's expected height?

The student's expected height is 5' 10.1".

Step-by-step explanation:

In a class there are 20 students: 3 are 5' 6", 5 are 5'8", 4 are 5'10", 4 are 6', and 4 are 6' 2".

First we will convert these heights to inches like:

12 inches = 1 feet

5' 6" = = 66

5'8" = = 68 and so on.

So, we get following heights in inches:

66, 68, 70 ,72, 74

Expected height  = (3/20)66 + (5/20)68 + (4/20)70 + (4/20)72 + (4/20)74 = 70.1 inches.

Or in feet, it will be : 5' 10.1"

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