Fire can use energy, consume oxygen, and interact with its environment. Why is it not alive?

If you were to combine all the ecosystems on the planet, you would obtain the ________.

A certain form of cancer is known to be found in women over 60 with probability 0.07. A blood test exists for the detection of the disease, but the test is not infallible. In fact, it is known that 10% of the time the test gives a false negative (i.e., the test incorrectly gives a negative result) and 5% of the time the test gives a false positive (i.e., incorrectly gives a positive result). If a woman over 60 is known to have taken the test and received a favorable (i.e., negative) result, what is the probability that she has the disease?

The following observations are the numbers of phone calls received by a service center in ten days.                9, 9, 8, 14, 18, 5, 11, 12, 10, 7 Find the sample median.

In a small island, earthquakes occur twice per year on average. Assume the number of the earthquakes follows from a Poisson distribution. What is the probability that there are 3 to 6 earthquakes from January 1,  2029 to  December 31, 2031?

A and B are two events.  Assume P(A) =0. 60, P(B) = 0.40, and P(A|B) = 0.75. What is  

A candidate for public office is thought to have support of 60% of the voters. Randomly select 100 voters.  Use normal approximation to find the probability for the event that between 50 and 60 (inclusive) voters will support the candidate.   

A high school student flips a fair coin 20 times and obtains 10 heads. What is the probability that there is 1 head in his first two flips?      

In a small island, earthquakes occur twice per year on average. Assume the number of the earthquakes follows from a Poisson distribution. What is the probability that there are 3 to 6 earthquakes from January 1,  2029 to  December 31, 2030?

A random variable X has the following density function