the probability that a randomly selected student scored less than 82.
Then the value is P( X< 82)=0.9192
From the question we are told that
The sample size is n = 24
The mean is =75
The standard deviation is =5
Generally the probability that a randomly chosen student scored is less than 82 is mathematically represented as
P( X < 82) = P ( Z< 82-75/5)
=P(Z <1.4)
=0.9192
From the z table the area under the normal curve corresponding to 1.4 is 0.9192
learn more about of mean here
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