SOLUTION: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 78 24 7 Male 83 40 46 Distribution of Super Power by Gender What i

Question 1167571: Given the following data for an imaginary superhero universe:
Flying Telepathy Super Strength
Female 78 24 7
Male 83 40 46
Distribution of Super Power by Gender
What is the empirical probability that a randomly selected superhero will have telepathy?
Answer in decimal form. Round to 3 decimal places as needed

Answer by CPhill(1987) (Show Source): You can put this solution on YOUR website!
```python?code_reference&code_event_index=2
# Data provided in the table
data = {
'Female': {'Flying': 78, 'Telepathy': 24, 'Super Strength': 7},
'Male': {'Flying': 83, 'Telepathy': 40, 'Super Strength': 46}
}
# 1. Calculate Total Superheroes
total_female = sum(data['Female'].values())
total_male = sum(data['Male'].values())
total_superheroes = total_female + total_male
# 2. Calculate Total Superheroes with Telepathy
total_telepathy = data['Female']['Telepathy'] + data['Male']['Telepathy']
# 3. Calculate Empirical Probability of Telepathy
probability_telepathy = total_telepathy / total_superheroes
# Print results
print(f"Total Superheroes: {total_superheroes}")
print(f"Total Telepathy Superheroes: {total_telepathy}")
print(f"Probability of Telepathy (decimal): {probability_telepathy}")
print(f"Probability of Telepathy (rounded to 3 decimal places): {probability_telepathy:.3f}")
```
```text?code_stdout&code_event_index=2
Total Superheroes: 278
Total Telepathy Superheroes: 64
Probability of Telepathy (decimal): 0.2302158273381295
Probability of Telepathy (rounded to 3 decimal places): 0.230
```
The empirical probability that a randomly selected superhero will have telepathy is calculated by dividing the total number of superheroes with telepathy by the total number of superheroes.
### 1\. Calculate the Total Number of Superheroes
$$\begin{aligned} \text{Total Superheroes} &= \text{Total Female} + \text{Total Male} \\ &= (78 + 24 + 7) + (83 + 40 + 46) \\ &= 109 + 169 \\ &= 278 \end{aligned}$$
### 2\. Calculate the Total Number of Superheroes with Telepathy
$$\begin{aligned} \text{Total Telepathy} &= \text{Female Telepathy} + \text{Male Telepathy} \\ &= 24 + 40 \\ &= 64 \end{aligned}$$
### 3\. Calculate the Empirical Probability
$$\begin{aligned} P(\text{Telepathy}) &= \frac{\text{Total Telepathy}}{\text{Total Superheroes}} \\ &= \frac{64}{278} \\ &\approx 0.230215...\end{aligned}$$
Rounding to 3 decimal places gives **0.230**.
RELATED QUESTIONS
Given the following data for an imaginary superhero universe: Flying Telepathy... (answered by CPhill)

Given the following data for an imaginary superhero universe: Flying Telepathy... (answered by CPhill)

calculate the average age of migrants for both the categories of gender and write your... (answered by ikleyn)

Giving a test to a group of students, the grades and gender are summarized below A B C (answered by ikleyn)

Question 1 (Multiple Choice Worth 1 points) [06.02] The table shows data from a... (answered by Fombitz)

The average monthly sales of 5000 firms are normally distributed with mean Rs. 36,000 and (answered by Fombitz)

Suppose you were in charge of administering this survey. The survey generated responses... (answered by Fombitz)

Which sneakers are prefered? female- running 12 cross training 28 Male- running 42... (answered by stanbon)

How do I do a Tree Diagram for the following solution A city council consists of 7... (answered by stanbon)