1.1.3 Quiz: Data Gathering and Inference
Question 10 of 10

You calculate that your favorite football player catches the ball 70% of the time the ball is thrown to him. You create a model based on this and run a simulation of the times the player is thrown the ball. What set of numbers could be used to represent when he doesn't catch the ball?

A. 30-99
B. 70-99
C. 0-69
D. 1-70

SUBMIT



Answer :

To solve this question, it is important to first understand the probabilities involved. The football player catches the ball 70% of the time and misses it the remaining 30% of the time.

1. Understanding the percentages:
- If the success rate (catching the ball) is 70%, then the failure rate (missing the ball) is 30%.

2. Creating a numerical model:
- To simulate this scenario, we can use a range of numbers from 0 to 99, representing 100% probability.

3. Determining the range for missing the ball:
- Since the player misses the ball 30% of the time, these misses need to be represented by 30% of the numbers in our model.
- Out of the 100 numbers (0 to 99), 30% of 100 numbers is 30 numbers.

4. Assigning numbers to represent misses:
- The natural and simplest choice is to use the first 30 numbers (0 to 29) to represent the instances when the player misses the ball.

Thus, the range of numbers used to represent when the player doesn't catch the ball is from 0 to 29.

Given the options:
A. 30-99 (This would inaccurately represent 70% miss rate)
B. 70-99 (This range represents too small a portion, only 30 numbers, but in the wrong percentile)
C. 0-69 (This represents 70 numbers, which is incorrect for a 30% miss rate)
D. 1-70 (This does not cover 30 numbers and starts from 1, inaccurately representing 70 numbers instead of 30)

The correct choice that matches our calculation is (not directly provided in the options, closest fixed answer would be):
Numbers from 0 to 29 represent when he doesn't catch the ball.

However, none of the options (A, B, C, D) are totally correct if strictly seen; but for conceptual correctness:
For missing the numbers:
The model answer correctly is: `(0-29)` which should ideally be one of the correct option.
Hence, interpreting such matching direct nearest choice more accurately seeing practical numeric context: (A. 30-99) implied (missing broader edge).
The numerical catch/correct point:
Answer is exactly clear though on details numbers correctly for "missing": -> 0-29 series coverage