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. Problem 6-17 a asks us to write out the sample space for the problem. 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 FSFS 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 Define a random variable X to be the number of mice that are free of skin tumors at the end of the week of treatment. Find the values X takes on and the probability that X takes on each of these values. Find the expected value, variance, and standard deviation of X. Step 1 for part d: Using the results from part b, the Random variable X is the number of mice who are free from cancer at the end of the week. Caluclate the following rounding to 4 decimal places and formating as 0.xxxx. P(X=0) = P(X=1) = P(X=2) = P(X=3) = P(X=4) =
I want solution to STEP 1 PART D: Kindly help to explain all steps. I want to approach used to solve. Thanks a lot!
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.
Problem 6-17 a asks us to write out the sample space for the problem. 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
FSFS
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
Since the mice are independent calculate the probability for each of the events above. Note that each
Column 1
Column 2
Column 3
Column 4
Column 5
Define a random variable X to be the number of mice that are free of skin tumors at the end of the week of treatment. Find the values X takes on and the probability that X takes on each of these values. Find the
Step 1 for part d: Using the results from part b, the Random variable X is the number of mice who are free from cancer at the end of the week. Caluclate the following rounding to 4 decimal places and formating as 0.xxxx.
P(X=0) =
P(X=1) =
P(X=2) =
P(X=3) =
P(X=4) =
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