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:
7/4a + 1/3
1 3/4a + 1/3
Step-by-step explanation:
if his height is H, and she is 7 inches shorter than him, her height can be represented by the algebraic equation H-7
Answer:
92 years old
Step-by-step explanation:
Multiply 23 by 4
92
So Morgan's grandfather is 92 years old
Hope this helps :)
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Answer:
25
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Step-by-step explanation:
5y + x - y; use x = 1, and y = 6
You plug the numbers in.
5(6) + 1 - 6
30+1-6
25