IV. Continuous Distribution: Normal Normal 1. The average time to complete a final exam in a...
IV. Continuous Distribution: Normal
Normal
1. The average time to complete a final exam in a given course is
normally distributed. With average of 80 min, and standard
deviation of 8 minutes. For a certain student taken at
random:
to. What is the probability of finishing the exam in an hour or
less?
b. What is the probability of finishing the exam between 60 min and
70 min?
Exponential
2. The time to fail in hours of a laser beam in a cytometric
machina can be modeled by an exponential distribution with λ =
.00004
* What is the probability that a laser fails more than15000
hours?
* What is the probability that a laser fails less than 25000
hours?
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IV. Continuous Distribution: Normal
Normal
1. The average time to complete a final exam in a...
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1. The time needed to complete a final examination in a particular college course is normally distributed with a mean o...
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The professor of a
introductory calculus class has stated that, historically, the
distribution of final exam grades in the course resemble a Normal
distribution with a mean final exam mark of μ=63μ=63% and a
standard deviation of σ=9σ=9%.
If using/finding zz-values, use three decimals.
(a) What is the probability that a random chosen
final exam mark in this course will be at least 73%? Answer to four
decimals.
(b) In order to pass this course, a student must
have a...
Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?
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