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Rudiy27
2 years ago
14

Use the Fundamental Counting Principle to find the total number of possible outcomes.

Mathematics
1 answer:
VLD [36.1K]2 years ago
4 0

Answer:

24.

Step-by-step explanation:

There are 3 types of suit, 2 types of wig and 4 talents.

Possible outcomes

= 3 * 2 * 4

= 24.

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2 years ago
Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a r
Marianna [84]

Answer:

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

\mu =\frac{\alpha }{\alpha +\beta  } = \frac{1}{1 + \frac{\beta}{\alpha} } 1/3   0.33  = 33.33 %

       The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by  

PDF = \frac{x^{\alpha -1} (1-x)^{\beta -1} }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }

where x = 0.1

α = 2 and β = 4

PDF = \frac{0.0729 }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du } = 1.458  

CDF = \frac{\int\limits^{0.1}_0 {t^{\alpha -1} (1-t)^{\beta -1}} \, du }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du } = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

3 0
3 years ago
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