Answer and explanation:
Given : The probability that you will roll an even number exactly 5 times when you: roll a six-sided number cube 10 times. P = 0.246 roll a six-sided number cube 20 times. P = 0.015
To find : Explain why the second result is less ?
Solution :
We have given that,
The probability that you will roll an even number exactly 5 times when we roll a six-sided number cube 10 times is P = 0.246.
Rolling a dice 10 times and get 5 times is [tex]\frac{5}{10}=0.5[/tex]
The probability that you will roll an even number exactly 5 times when we roll a six-sided number cube 20 times is P = 0.015.
Rolling a dice 20 times and get 5 times is [tex]\frac{5}{20}=0.25[/tex]
Since, the second result is less than first because 0.25 is less than 0.5 which means chances of 5 times in 20 times roll is less than 10 times.
Answer:
Sample Response: As the number of trials changes, the distribution changes. Since there is a 50% chance of rolling an even number, having a small number of successes is less likely when the number of rolls increases.
The number of trials affects the distribution.
5 successes is the expected value for 10 trials.
5 successes is close to an end of the distribution for 20 trials.
Step-by-step explanation:
Edge answer :)
