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Softa [21]
4 years ago
8

The American Community Survey is completed by the US Census Bureau to obtain information about households in the US. One variabl

e of interest is how many people reside in each household (vacant households were recorded as having zero people). Based on data from 2014, here is the partially completed probability distribution of H, the number of people residing in a randomly selected US household:
H 0 1 2 3 4 5+
P(H) ? 0.24 0.30 0.14 0.11 0.09
Find the missing probability in the table
Mathematics
1 answer:
Marina CMI [18]4 years ago
3 0

Answer:

The missing probability is 0.12        

Step-by-step explanation:

We are given the following in the question:

  H:  0      1         2         3       4       5

P(H): x   0.24   0.30   0.14   0.11   0.09

Let x be the missing probability.

Property of discrete probability distribution:

\displaystyle\sum P(x_i) = 1\\\Rightarrow  x+ 0.24+ 0.30+ 0.14 +0.11 +0.09 = 1\\\Rightarrow x + 0.88 = 1\\\Rightarrow x  = 1 - 0.88\\\Rightarrow x = 0.12

Thus, the missing probability is 0.12

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Answer:

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Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

  A = (1/2)(b1 +b2)h

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3 years ago
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onsider the following limit of Riemann sums of a function f on​ [a,b]. Identify f and express the limit as a definite integral.
sveta [45]

Answer:

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Step-by-step explanation:

It is given that

\lim_{\Delta \to 0} \sum_{k=1}^{n}(x_{k}^{*})^4\Delta x_{k}                 \, \,\,\,\,\,\,\,\,\, [6, 10]

As

\int_{a}^{b} F(x)dx=\lim_{\Delta \to 0} \sum_{k=1}^{n}(x_{k}^{*})\Delta x_{k}

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On comparison it is observed that

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So the equation is given as

\lim_{\Delta \to 0} \sum_{k=1}^{n}(x_{k}^{*})^4\Delta x_{k}\\=\int_{6}^{10} x^4dx

So the solution is given as \int_{6}^{10} x^4dx

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3 years ago
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