A cancer researcher wants to test a new combination of chemotherapy and radiation on skin tumors in laboratory mice. The researcher administers the treatment to each of four laboratory mice having the type of skin tumor under study. After a week of treatment, the researcher records failure or success for each mouse, depending on whether or not skin tumor cells are observed on the animal.    Let S represent the cancer disappears and F represents the cancer did not disappear. The sample space events are as follows: SSSS      SSSF     SSFF      SFFF      FFFF SSFS      SFFS      FSFF SFSS      FFSS      FFSF FSSS      SFSF      FFFS                                SFFS                                FSF

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A cancer researcher wants to test a new combination of chemotherapy and radiation on skin tumors in laboratory mice. The researcher administers the treatment to each of four laboratory mice having the type of skin tumor under study. After a week of treatment, the researcher records failure or success for each mouse, depending on whether or not skin tumor cells are observed on the animal.   

Let S represent the cancer disappears and F represents the cancer did not disappear. The sample space events are as follows:

SSSS      SSSF     SSFF      SFFF      FFFF

SSFS      SFFS      FSFF

SFSS      FFSS      FFSF

FSSS      SFSF      FFFS

                               SFFS

                               FSF

Suppose that the treatment combination has no effect on the skin tumors. However, there is a .1 probability that the tumor will disappear spontane­ously over a week of observation. If the mice are independent of one an­other with regard to disappearance of the skin tumor, find the probability function for the sample space in this problem.

Since the mice are independent calculate the probability for each of the events above. Note that each event  listed in the same column have the same probability of occurring, then what is the probability of each event listed in each of the  five columns? Answer to 4 decimal places and list in the order of the columns. Note format answer as 0.xxxx.

 

Column 1=

Column 2=

Column 3= 

Column 4= 

Column 5=

Kindly help to explain. I want to understand the procedure and how the answeres were derived. Thank you!

Expert Solution
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Binomial distribution is used to when we have n number of independent trials and probability of success is same for each trial.

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