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The lifespan of a virus depends on the type of RNA it carries. There are two...

The lifespan of a virus depends on the type of RNA it carries. There are two types of RNA that a virus can randomly carry. The probability that a virus carries type 1 RNA is 0.4 and the probability it carries type 2 RNA is 0.6. For a given type of RNA, the lifespan of a virus is random and can be characterized as exponential. The average amount of time for the virus to exhibit no bio-activity is about 4 days for type 1 and 8 days for type 2. Let T be a random variable that models the lifespan on a virus.

A. Is T discrete or continuous? Offer an explanation as to why.

B. What are the possible values T can take?

C. For a type 2 virus, find the probability that it is still active in 1 week.

D. For a random type of virus, find the probability that it is still active after 1 week.

E. Find the distribution for T.

F. Find expected value E(T).

G. Find Variance V(T).

Please show all steps to solutions. Thank you in advance!

Math   Statistics-And-Probability   
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