he probability that student will score full marks in statistics exam is 0.2 .  'X' counts the number of students who score full marks out of 100 students. 1) What distributuon does 'X' follow and why ? What are  assumptions  you making here? 2) Use normal approximation to this disrltribution to find probability that random variable X is counting any value in between 10 to 22 (Both inclusive) ? 3) Also find error in this approximarion?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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The probability that student will score full marks in statistics exam is 0.2 .

 'X' counts the number of students who score full marks out of 100 students.
1) What distributuon does 'X' follow and why ? What are  assumptions  you making here?
2) Use normal approximation to this disrltribution to find probability that random variable X is counting any value in between 10 to 22 (Both inclusive) ?
3) Also find error in this approximarion?

 

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