Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

Mean equal to 23.
This means that 
(a) P(X >10)

So
P(X > 10) = 0.6473
(b) P(X >20)

So
P(X > 20) = 0.4190
(c) P(X <30)

So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So






Answer:
28 pages
Step-by-step explanation:
240 minutes = 4 hours
240 minutes = 112 pages read
You have to divide by 4 the numbers are in each side, it would be like this:
60 minutes = 28 pages read
60 minutes is equal to an hour
1 hour = 28 pages read
Hope this was helpful :)
f(x) = {(1,3), (1,5), (1,7), (1,9)}
Domain = 1, 1, 1, 1
Range = 3, 5, 7, 9
Answer: 200 bulbs will not be defective.
Step-by-step explanation:
The ratio of defective bulbs to good bulbs produced each day is 2 to 10. This ratio can also be expressed as 1 to 5 by reducing to lowest terms.
The total ratio is the sum of the proportions.
Total ratio = 1 + 5 = 6
This means that if n bulbs is produced, the number of defective bulbs would be
1/6 × n
The number of non defective would be
5/6 × n
Since n = 240, then the number of bulbs that will not be defective is
5/6 × 240 = 200 bulbs
C . bc its the right answer :)