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rosijanka [135]
3 years ago
6

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

nd a counterexample.
If you have a gerbil, then you are a pet owner.
Question 14 options:

A. If you are not a pet owner, then you do not have a gerbil. True

B. If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.

C. If you do not have a gerbil, then you are not a pet owner. False; you could have a dog.

D. If you are not a gerbil, then you are not a pet owner. True
Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

A

Step-by-step explanation:

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4 years ago
Data collected at Toronto Pearson International Airport suggest that an exponential distribution with mean value 2,725 hours is
Rzqust [24]

Answer:

P(X >2)

And we can calculate this with the complement rule like this:

P(X>2) = 1-P(X

And using the cdf we got:

P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480

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:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable of interest:

X \sim Exp(\lambda=\frac{1}{2.725})

Solution to the problem

We want to calculate this probability:

P(X >2)

And we can calculate this with the complement rule like this:

P(X>2) = 1-P(X

And using the cdf we got:

P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480

8 0
3 years ago
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