IQs are measured on a scale with a mean of 100 and standard deviation 15. Assuming that IQs can be modelled by a normal random variable, find the value of k , up to 1 decimal place, such that P(Y < k) = 0.2 where Y is the random variable representing the IQ.

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Chapter1: Combinatorial Analysis
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[A-Level]
IQs are measured on a scale with a
mean of 100 and standard deviation
15. Assuming that IQs can be modelled
by a normal random variable, find the
value of
k
, up to 1 decimal place, such that
P(Y < k) = 0.2
where
Y
is the random variable representing the
IQ.
Transcribed Image Text:[A-Level] IQs are measured on a scale with a mean of 100 and standard deviation 15. Assuming that IQs can be modelled by a normal random variable, find the value of k , up to 1 decimal place, such that P(Y < k) = 0.2 where Y is the random variable representing the IQ.
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