Help me plz and explain this a grade!!!
1 answer:
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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:
Hey there! I'm happy to help!
Let's set this up as a proportion (2 equal ratios).
If you multiply the diagonal numbers, their products will be equal. (412×g=103×184). This is called cross multiplying. Now we can solve for g.
412g=18952
Divide both sides by 412.
g=46
Therefore, the boat will need 46 gallons of gasoline to go 184 miles.
Have a wonderful day! :D