Expectation is linear in the sense that
![E[2X+3Y]=E[2X]+E[3Y]=2E[X]+3E[Y]](https://tex.z-dn.net/?f=E%5B2X%2B3Y%5D%3DE%5B2X%5D%2BE%5B3Y%5D%3D2E%5BX%5D%2B3E%5BY%5D)
so that
![E[2X+3Y]=2\cdot6+3\cdots9=12+27=\boxed{39}](https://tex.z-dn.net/?f=E%5B2X%2B3Y%5D%3D2%5Ccdot6%2B3%5Ccdots9%3D12%2B27%3D%5Cboxed%7B39%7D)
Answer:
x = 4.8
Step-by-step explanation:
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Answer:
10/9
Step-by-step explanation:
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Using proportions, it is found that the statement that Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times is True.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, out of 8 sections, 4(Blue, Brown, Bronze and Black) begin with letter "B". We want to find the equivalent amount out of 98 trials. Hence, the <em>rule of three </em>is:
8 trials - 4 start with "B".
96 trials - n start with "B".
Applying cross multiplication:
8n = 4 x 96
n = 0.5 x 96
n = 48.
Hence, the statement is True.
More can be learned about proportions at brainly.com/question/24372153