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Probablility the student passes english

The probability that a student passes Math class is 60% and the probablility the student passes English is 80%. The probability that the student passes is 54%

A) What is the probability the student passes either one of the classes (or both)?

B) What is the probability the student passes neither exam?

C) What is the conditional probability the student passes English and fails Math?

D) What is the condtional probability the student passes Math given the student passes English?

E) What is the conditional probability the student passes math given the student fails english?

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## Q : Compute the z or t value of the sample test statistic

Test at the 5% level of significance. Assume the population standard deviation= $1,580. Compute the z or t value of the sample test statistic.