Q. 1 In University of Nizwa, you pass an exam if your total marks is 60 or more out of 100. Suppose the grade distribution of STAT210 follows normal (Gaussian) distribution with X~Normal(µ = 70, o² = 16). (i) Find the probability of passing the exam of STAT210. (ii) Given that your grade is greater than 50, find the probability that you pass the exam?

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Q. 1 In University of Nizwa, you pass an exam if
marks is 60 or more out of 100. Suppose the grade
your total
distribution of STAT210 follows normal (Gaussian)
distribution with X~Normal(µ = 70,0² = 16).
(i) Find the probability of passing the exam of STAT210.
(ii) Given that your grade is greater than 50, find the
probability that you pass the exam?
Transcribed Image Text:Q. 1 In University of Nizwa, you pass an exam if marks is 60 or more out of 100. Suppose the grade your total distribution of STAT210 follows normal (Gaussian) distribution with X~Normal(µ = 70,0² = 16). (i) Find the probability of passing the exam of STAT210. (ii) Given that your grade is greater than 50, find the probability that you pass the exam?
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