The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind'. Use this table to find the probability P(M). P(M)= M M' Totals C 0.036 0.008 0.044 C' 0.479 0.477 0.956 Totals 0.515 0.485 1.000
The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind'. Use this table to find the probability P(M). P(M)= M M' Totals C 0.036 0.008 0.044 C' 0.479 0.477 0.956 Totals 0.515 0.485 1.000
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The table shows relative frequencies for red-green color blindness in one doctor's practice. \( M \) represents 'person is male' and \( C \) represents 'person is color-blind'. Use this table to find the probability \( P(M) \).
\[
\begin{array}{|c|c|c|c|}
\hline
& M & M' & \text{Totals} \\
\hline
C & 0.036 & 0.008 & 0.044 \\
\hline
C' & 0.479 & 0.477 & 0.956 \\
\hline
\text{Totals} & 0.515 & 0.485 & 1.000 \\
\hline
\end{array}
\]
The task is to calculate the probability \( P(M) \), which is the probability that a person is male.
**Probability Calculation:**
The probability \( P(M) \), representing the probability that a person is male, is obtained from the totals column for \( M \):
\[
P(M) = 0.515
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb76a34ef-22d3-4cb0-8af6-813d524e1e4e%2F5e9a0254-d550-4363-89d4-e76c3280a935%2Fzat8k3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The table shows relative frequencies for red-green color blindness in one doctor's practice. \( M \) represents 'person is male' and \( C \) represents 'person is color-blind'. Use this table to find the probability \( P(M) \).
\[
\begin{array}{|c|c|c|c|}
\hline
& M & M' & \text{Totals} \\
\hline
C & 0.036 & 0.008 & 0.044 \\
\hline
C' & 0.479 & 0.477 & 0.956 \\
\hline
\text{Totals} & 0.515 & 0.485 & 1.000 \\
\hline
\end{array}
\]
The task is to calculate the probability \( P(M) \), which is the probability that a person is male.
**Probability Calculation:**
The probability \( P(M) \), representing the probability that a person is male, is obtained from the totals column for \( M \):
\[
P(M) = 0.515
\]
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