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Previous Problem Problem List Next Problem (1 point) At the end of a previous se

ID: 3051135 • Letter: P

Question

Previous Problem Problem List Next Problem (1 point) At the end of a previous semester, it is found that 821 of 1095 students have earned a passing grade in their Introductory Statistics course. A set of 20 students is selected at random (without replacement, so the same student cannot be selected more than once) a. What is the probability that 13 or more of the selected students earned a passing grade? Answer: b. What is the probability that fewer than 13 of the selected students earned a passing grade? Answer: (Round each answer to at least three decimal places.)

Explanation / Answer

p is 821/1095=0.7498

N is 20

Using binomial distribution in Excel

a) P(x>=13)=1-P(x<=12)=1-BINOM.DIST(12,20,0.7498,TRUE) =0.8978

b) P(x<13)= 1-P(x>=13)=1-0.8978=0.1022

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