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Rudik [331]
4 years ago
6

Maximum time to complete a task in a project is 2.5 days. suppose that the completion time as a proportion of this maximum is a

beta random variable with α = 2 and β = 3. what is the probability that the task requires more than two days to complete
Mathematics
1 answer:
nika2105 [10]4 years ago
5 0
The beta distribution takes a value between 0 and 1.

The proportion of 2 days relative to max of 2.5 days is 2/2.5 = 0.8.

You want the P(x>0.8) for the beta distribution.

= \int_{0.8}^1 \frac{ ( \alpha + \beta  -1)!}{(\alpha -1)! (\beta-1)!} x^{\alpha -1} (1-x)^{\beta-1} \\  \\ = 12 \int_{0.8}^1 x(1-x)^2 \\  \\ = 0.0272

Answer: The probability it takes more than 2 days is 2.72%
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7 0
4 years ago
Let x represent the measurement of an acute angle in degrees. The ratio of the complement of x to the supplement of c is 2:5. Gu
sergiy2304 [10]

<u>Answer:</u>

The ratio of the complement of x to the supplement of x is 2:5. The value of x is 30

<u>Solution:</u>

It is given that x represents the measurement of an acute angle in degrees.  It is also given that the ratio of the complement of x to the supplement of x is 2:5.  

Since it is given that x is an acute angle it means that it has to be less than 90.

Complement of an angle = 90 - x

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3 0
4 years ago
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