unit_02_exercise_4_handout.Rmd

# Responsesreplicatek sumnumberresponses create a table

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number.responses.replicate[k] = sum(number.responses) } #create a table of response counts response.counts = table(number.responses.replicate) response.counts #plot the response counts barplot(response.counts) ` b) Run the code. From the barplot, describe the distribution. \vspace{3cm}

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c) Based on the results of the simulation, estimate the probability that 0 patients respond well to the new drug. \vspace{3cm} d) Based on the results of the simulation, construct a probability distribution for the random variable $X$, the number of patients who respond well to the experimental drug. \begin{table}[h!] \setlength{\tabcolsep}{12pt} \begin{large} \begin{tabular}{|l |r|r|r|r|r|r|r|r|r| l|} \hline $x_i$ & \text{ 0 } &\text{ 1 } & \text{ 2 } & \text{ 3 } & \text{ 4 } & \text{ 5 } & \text{ 6 } & \text{ 7 } & \text{ 8 } & Total \\ \hline $P(X = x_i)$ & & & & & & & & & & = 1.00\\ \hline \end{tabular} \end{large} \end{table} e) What value(s) for response probability would produce a left-skewed distribution? what value(s) would produce a symmetric distribution? \vspace{3cm} f) Calculate $E(X)$, where $X$ is the number of patients who respond well to the experimental drug. \vspace{4cm} g) Calculate $SD(X)$, where $X$ is the number of patients who respond well to the experimental drug. It is sufficient to write the answer in an unsimplified form where only simple arithmetic is necessary to reach the final value.
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• Fall '16
• banubaydil
• Probability distribution, probability density function, Cumulative distribution function, Probability space, experimental drug

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