Suppose that in a day, the probability of a car agents' not closing any deal is 0.35. On the other hand, the probability that he/she can close one deal is 0.3, two deals, 0.25; and three deals, 0.1. prepare/construct probability distribution table for random variable X define as the number of closed deals. create the Probability distribution and compute the mean, variance and standard deviation (below formula for your reference)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that in a day, the probability of a car agents' not closing any deal is 0.35. On the other hand, the probability that he/she can close one deal is 0.3, two deals, 0.25; and three deals, 0.1. prepare/construct probability distribution table for random variable X define as the number of closed deals. create the Probability distribution and compute the mean, variance and standard deviation (below formula for your reference)
The mean, the variance, and the standard deviation of frequency distribution can
be used to describe the measures of the center and the variations of the score
from the center of the distribution. The formulas are listed below:
cores
Mean of Binomial Distribution
H= n x p
Variance of Binomial Distribution
o = 4x q
Standard Deviation of Binomial Distribution
O = Vo
Transcribed Image Text:The mean, the variance, and the standard deviation of frequency distribution can be used to describe the measures of the center and the variations of the score from the center of the distribution. The formulas are listed below: cores Mean of Binomial Distribution H= n x p Variance of Binomial Distribution o = 4x q Standard Deviation of Binomial Distribution O = Vo
Mean, Variance and Standard Deviation of Probability
Distribution
Formula for the Mean
or Expected Value of a
Probability Distribution
μ= ΣΧ.ΡX
Note: E is summation, and means to sum up.
To solve:
•multiply each value by its probability
• sum them up
Formula for the Variance:
o? = EX?PX - µ?
To solve:
• square each value and multiply by its probability
· sum them up and we get EX²PX
• then subtract the square of the Expected Value p?
Formula for the Standard Deviation: o
O = V o?
The Standard Deviation is the square root of the Variance
Transcribed Image Text:Mean, Variance and Standard Deviation of Probability Distribution Formula for the Mean or Expected Value of a Probability Distribution μ= ΣΧ.ΡX Note: E is summation, and means to sum up. To solve: •multiply each value by its probability • sum them up Formula for the Variance: o? = EX?PX - µ? To solve: • square each value and multiply by its probability · sum them up and we get EX²PX • then subtract the square of the Expected Value p? Formula for the Standard Deviation: o O = V o? The Standard Deviation is the square root of the Variance
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