The life of an electric component has an exponential distribution with a mean of 8 years. What is the probability that a randoml
1 answer:
Answer:
The probability is 0.4647
Step-by-step explanation:
The variable X is the life of an electric component in years.
X follows a exponential distribution, it means that the probability that the life of an electric component is less than x years is calculated as:
Where and
is the mean life of the electric component.
So, replacing x by 5 and by 8, we get that the probability that a randomly selected component has a life less than 5 years is:
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Answer:
- y = -5x +10
- (0, 10)
- (1, 5)
- see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
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2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
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3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
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4. See attached
