Answer:
a) 
b) 
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

The cumulative distribution function is given by:

Part a
We want to find this probability:
and for this case we can use the cumulative distribution function to find it like this:

Part b
For this case w want to find this probability

We have an important property on the exponential distribution called "Memoryless" property and says this:
On this case if we use this property we have this:
We can use the definition of the density function and find this probability:

Answer:
1.1
Step-by-step explanation:
I think it.
Answer:
The correct answer would be Table A in your case.
Step-by-step explanation:
12 + 3 = 15
86 + 99 = 185
and 98 + 102 = 200
Meaning those are true statements.
The steps to draw all the three angles have been explained.
<h3>What is an Angle ?</h3>
An angle is made by two rays that have one common end point known as vertex.
To make an angle congruent to the one given , the angle has to be copied
For making both ∠XYZ and∠ UVW , following steps will be followed.
- Draw two rays separately and name it YZ and VW .
- Take a compass and draw a free hand arc from the point B and E and with the same measure draw a free hand arc from the point Y and V respectively.
- Take the compass to the angle ABC and DEF again , from the point where the arc intersects BC and EF , cut an arc on the ray AB and DE .
- With the same measure , keep the compass on the point the free hand arc intersected on the ray YZ and VW , cut the arc by the new arc .
- The point where both the arc intersects will be joined form the end points , Y and V , to form an angle.
- The angle formed will be copy of ∠ABC and∠ DEF
Now to draw RST = ABC + DEF
- Draw the angle ABC and repeat the steps to draw DEF taking , AB ray as the base of the angle.
The angle obtained will be RST.
To know more about Angle
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Answer: 
Step-by-step explanation:
The volume
of a cube is given by the following equation:

Where:



Rewriting the equation with the given values:

Solving:
This is the volume of the cube in terms of 