Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter 
The probability distribution function of <em>X</em> is:

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Answer:
1 23/30
Step-by-step explanation:
you convet the mixed numbers into improper fractions then find the lowest common factor and combine :)
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
3 * 2^2 * 5^3
Step-by-step explanation:
Hope this is what you wanted