a) The following Table lists the probability distribution of a discrete random variable x: 1 2 4| 5 Р(x) | 0.19 0.32 0.24 * 0.06 0.03 (i) Calculate the expected value (mean), variance and the standard deviation of the probability distribution. b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university car park. If there are 275 lecturers with vehicles on campus each day, what is the probability that at least 215 lecturers will obtain a parking space on a given day? Use a suitable approximation in your response.
a) The following Table lists the probability distribution of a discrete random variable x: 1 2 4| 5 Р(x) | 0.19 0.32 0.24 * 0.06 0.03 (i) Calculate the expected value (mean), variance and the standard deviation of the probability distribution. b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university car park. If there are 275 lecturers with vehicles on campus each day, what is the probability that at least 215 lecturers will obtain a parking space on a given day? Use a suitable approximation in your response.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:a) The following Table lists the probability distribution of a discrete random variable x:
1
3
4
P(x) | 0.19
0.32
0.24
*
0.06
0.03
(i) Calculate the expected value (mean), variance and the standard deviation of the
probability distribution.
b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university
car park. If there are 275 lecturers with vehicles on campus each day, what is the
probability that at least 215 lecturers will obtain a parking space on a given day? Use
a suitable approximation in your response.
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