Question

A)
μ =	544
σ =	110
probability is 0.60
students test score will be between what 2 values equidistance from mean
test score?
B)
μ =	494
σ =	110
probability is 0.30
students test score is at most what valye?

Answer 1

A) We know,

  

given, = 544 and = 110

P( - z < Z < z) = 0.60

Hence z = 0.842 (From standard table)

Test scores are,

X = 636.62

X = 451.38

students test score will between (451.38, 636.62)

B)

We know,

  

given, = 494 and = 110

P(Z < z) = 0.30

Z score = - 0.524

Test score is ,

X = 436.36

Students test score is at most 436.36

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