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PIT_PIT [208]
3 years ago
13

mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days

but most likely will requrie 20 days. what is the 20 day estimate called?
Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:

<em>Most likely time, </em>according to PERT (Program evaluation and review technique).

Step-by-step explanation:

PERT is "a statistical tool used in <em>project management" (Program evaluation and review technique (2020), </em>in Wikipedia), and it is commonly used with CPM <em>(Critical Path Method)</em> to manage projects.

Inside PERT, there are different defined times to accomplished an activity in a project, that is:

  • An <em>optimistic time</em> or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
  • A <em>pessimistic time, </em>a time quite the opposite to optimistic time.
  • A <em>most likely time</em>, or a time required to accomplished an activity if everything goes as expected or normally.
  • An <em>expected time</em>, an statistical estimation.

Considering the question, we have that the <em>time</em> when "the first module of the project could be completed":

  • "[...] in as few as 15 days"  is the <em>optimistic time</em>.
  • "[...] or could take as many as 25 days" is the <em>pessimistic time</em>.
  • "[...] but most likely will require 20 days" is the <em>most likely time</em>.

As a result, the <em>20-day estimate</em> is called the <em>most likely time</em> in the context of the PERT/CPM techniques.

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According to 2015 census data, 42.7 percent of Colorado residents were born in Colorado. If a sample of 250 Colorado residents i
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Answer:

sd(X)=\sqrt{np(1-p)}=\sqrt{250*0.427*(1-0.427)}=7.82

The best option is:

B.7.82

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Data given

p_C represent the real population proportion for residents born in Colorado  

\hat p_C =0.427 represent the estimated proportion for rsidents born in Colorado

n_C=250 is the sample size selected

Solution to the problem

Let X the random variable of interest (number of residents in the sample), on this case we now that:  

X \sim Binom(n=250, p=0.427)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}  

The expected value is given by this formula:

E(X) = np=250*0.427=106.75

And the standard deviation for the random variable is given by:

sd(X)=\sqrt{np(1-p)}=\sqrt{250*0.427*(1-0.427)}=7.82

The best option is:

B.7.82

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B. <span>x + x - 4 + 12 = 26</span>

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