Answered

Get personalized and accurate responses to your questions with IDNLearn.com. Join our Q&A platform to access reliable and detailed answers from experts in various fields.

Select the correct answer from each drop-down menu.

\begin{tabular}{|l|c|c|c|c|}
\hline
\multirow{2}{*}{ Hemoglobin Level } & \multicolumn{4}{|c|}{ Age } \\
\cline { 2 - 5 } & Less than 25 Years & 25-35 Years & Above 35 Years & Total \\
\hline Less than 9 & 21 & 32 & 76 & 129 \\
\hline Between 9 and 11 & 49 & 52 & 46 & 147 \\
\hline Above 11 & 69 & 44 & 40 & 153 \\
\hline Total & 139 & 128 & 162 & 429 \\
\hline
\end{tabular}

Based on the data in the two-way table, answer the following:

1. The probability of being [tex]$25-35$[/tex] years old given a hemoglobin level above 11 is [tex]$\square$[/tex].
2. The probability of being [tex]$25-35$[/tex] years old is [tex]$\square$[/tex].
3. Being 25-35 years old and having a hemoglobin level above 11 are [tex]$\square$[/tex] dependent on each other.

Sagot :

GinnyAnsweridn
To determine the required probabilities and dependence, let's break down the parts step-by-step based on the given data in the table.

### Step 1: Determine the Probability of Being 25-35 Years Old Given a Hemoglobin Level Above 11
We need to find the conditional probability of being 25-35 years old given that the hemoglobin level is above 11. This means we will focus only on the row where the hemoglobin level is "Above 11."

From the table:
- Number of individuals aged 25-35 with a hemoglobin level above 11: 44
- Total number of individuals with a hemoglobin level above 11: 153

So, the conditional probability is computed as:

[tex]\[ P(\text{25-35}|\text{Above 11}) = \frac{44}{153} \approx 0.2876 \][/tex]

### Step 2: Determine the Probability of Being 25-35 Years Old in General
To find the general probability of being in the age range of 25-35 years, we consider the total number of individuals in that age range divided by the total population.

From the table:
- Total number of individuals aged 25-35: 128
- Total population: 429

So, the general probability is:

[tex]\[ P(\text{25-35}) = \frac{128}{429} \approx 0.2984 \][/tex]

### Step 3: Determine Dependency
We need to check if being 25-35 years old and having a hemoglobin level above 11 are dependent events. For this, we compare the conditional probability [tex]\( P(\text{25-35}|\text{Above 11}) \)[/tex] with the general probability [tex]\( P(\text{25-35}) \)[/tex].

Since:

[tex]\[ P(\text{25-35}|\text{Above 11}) \approx 0.2876 \][/tex]
[tex]\[ P(\text{25-35}) \approx 0.2984 \][/tex]

There is a difference between these probabilities, which suggests that the events are dependent. Thus, being 25-35 years old and having a hemoglobin level above 11 are dependent on each other.

To summarize, we get:
- The probability of being 25-35 years old given a hemoglobin level above 11 is approximately 0.2876.
- The probability of being 25-35 years old in general is approximately 0.2984.
- Being 25-35 years old and having a hemoglobin level above 11 are dependent on each other.

So, the correct answers for the drop-down menus would be:
- The probability of being [tex]$25-35$[/tex] years old given a hemoglobin level above 11 is 0.2876.
- The probability of being [tex]$25-35$[/tex] years old is 0.2984.
- Being 25-35 years old and having a hemoglobin level above 11 are dependent on each other.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.