d. If exponential distribution can model this system, what is the probability that there will failing students right after midterm? Let X denote the time in semesters from the start of interval until the first failure and that a semester is divided by midterm period. e. Calculate the probability that there will be a failing student within the first semester.
d. If exponential distribution can model this system, what is the probability that there will failing students right after midterm? Let X denote the time in semesters from the start of interval until the first failure and that a semester is divided by midterm period. e. Calculate the probability that there will be a failing student within the first semester.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
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Answer only D,E,F
Transcribed Image Text:The number of students who fail per semester is often modeled as a Poisson random
variable. Assume that on the average there are 6 students who fail per sem.
a. What is the probability that there are exactly 5 students who fail in 1 sem?
b. What is the probability that there are exactly 3 students in one academic year?
c. What is the probability that there are at least 3 students who fail in one sem?
d. If exponential distribution can model this system, what is the probability that there will be no
failing students right after midterm? Let X denote the time in semesters from the start of the
interval until the first failure and that a semester is divided by midterm period.
e. Calculate the probability that there will be a failing student within the first semester.
F. Calculate the probability that a failing student will be first spotted after midterm up to end of
the first semester?
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