A population of values has a normal distribution with ( mu=243.2 ) and ( sigma=84.1 ). You intend to draw a random sample of size ( n=152 ). Find the probability that a single randomly selected value is between 233 and 261.6. [ P(233<X<261.6)= ] Find the probability that a sample of size ( n=152 ) is randomly selected with a mean between 233 and 261.6. [ P(233<M<261.6)= ] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact ( z )-scores or ( z ) scores rounded to 3 decimal places are accepted.
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