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Question
In: Statistics and Probability
What is a cumulative probability?
What is a cumulative probability? Please Give details explanation.
Solutions
Expert Solution
A cumulative probability is a sum of probabilities. In connection with the normal distribution, a cumulative probability refers to the probability that a randomly selected score will be less than or equal to a specified value, referred to as the normal random variable.
Suppose, for example, that we have a school with 100 first-graders. If we ask about the probability that a randomly selected first grader weighs exactly 70 pounds, we are asking about a simple probability - not a cumulative probability.
But if we ask about the probability that a randomly selected first grader is less than or equal to 70 pounds, we are really asking about a sum of probabilities (i.e., the probability that the student is exactly 70 pounds plus the probability that he/she is 69 pounds plus the probability that he/she is 68 pounds, etc.). Thus, we are asking about a cumulative probability.
see above.
Nipun Maity answered 2 years agoRelated Solutions
a/Use Excel to find the discrete probability and cumulative probability of the Binomial distribution with probability...
a/Use Excel to find the discrete probability and cumulative
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DIRECTIONS: For items 1a-c The Cumulative Binomial Probability Distribution to determine the Cumulative Probabilities for the...
DIRECTIONS: For items 1a-c The Cumulative Binomial
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for the Binomial Random Variable, X.
1a. According to the Gallup poll, P = 0.60 of U.S.
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Between P (7...
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iii) Say instead we had...
The cumulative probability distribution for the number of chocolate on a single mini-cookie is given below:...
The cumulative probability distribution for the number of
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Number of Chocolate Chips (xi)
P(X≤xi)
0
0.05
1
0.30
2
0.70
3
0.95
4
1.00
1.
What is the probability that a randomly chosen cookie will
contain exactly two chocolate chips? Include 2 decimal places in
your answer.
2.
What is the probability that a randomly chosen cookie will
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3....
Summarize key data distribution concepts including probability mass functions (PMF), probability density functions (PDF), and cumulative...
Summarize key data distribution concepts including probability
mass functions (PMF), probability density functions (PDF), and
cumulative distribution functions (CDF). Based on an organization
or any organization you are most familiar with, provide an example
of a PMF, an example of a PDF, and an example of a CDF, based on
the type of data used in the organization. How would you summarize
each of these to someone who is not familiar with each of these
functions?
Summarize key data distribution concepts including probability mass functions (PMF), probability density functions (PDF), and cumulative...
Summarize key data distribution concepts including probability
mass functions (PMF), probability density functions (PDF), and
cumulative distribution functions (CDF). Based on your organization
or any organization you are most familiar with, provide an example
of a PMF, an example of a PDF, and an example of a CDF, based on
the type of data used in the organization. How would you summarize
each of these to someone who is not familiar with each of these
functions?
1) Define and elaborate upon the following: (a) A probability mass function (b) A cumulative distribution...
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(a) A probability mass function
(b) A cumulative distribution function
(c) A discrete uniform distribution
(d) A Bernoulli trial
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USING EXCEL Now your task is to plot the cumulative probability density function with the information...
USING EXCEL
Now your task is to plot the
cumulative probability density function with the information given
in number 2. First, open Worksheet #3. Then enter “=” in cell A17
of your new worksheet and then click on cell A17 of your second
worksheet and hit return. Then copy cell A17 down the A column as
before.
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Show that it is a valid probability function
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The Expected mean
The variance
Given the cumulative distribution of a gamma random variable find: The probability density function Show that...
Given the cumulative distribution of a gamma random variable
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The probability density function
Show that it is a valid probability function
The moment generating function
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