okay need help on this thing ughhh ..............Online Project:

Using what you have learned, and the data provided for each trial, answer the questions in the essay box below.

Imagine tossing a coin:
What are your chances for tossing a head?
What are your chances for tossing a tail?
A coin is tossed 10 times:
How many times do you expect to get heads?
How many times do you expect to get tails?
Using this data for the 10 coin tosses, calculate and record the deviation observed from what you expected using the following formula:



The more the experimental results deviate from the expected results, the more the deviation value will approach the value of 1.0. As your results get closer to the expected results, the deviation is smaller and nears the value of 0.0.
Interpret the meaning of the deviation value you obtained.
A coin is tossed 100 times:
How many times do you expect to get heads?
How many times do you expect to get tails?
Using this data for 100 coin tosses:
Calculate the deviation for the 100 tosses.
The 100 coin tosses are repeated. The results are added to the results of the first 100 coin tosses.
How many times do you expect to get heads out of the 200 tosses?
How many times do you expect to get tails out of the 200 tosses?
Using this data for the 200 coin tosses:
What is the deviation for the 200 tosses?
How does increasing the total number of coin tosses from 10 to 100 affect the deviation?
How does increasing the total number of tosses from 100 to 200 (or more) affect the deviation?
What two important probability principles were established in this exercise?
With two coins, both coins are tossed 100 times.
How many times do you expect to get 2 heads?
How many times do you expect to get 2 tails?
How many times do you expect to get one head and one tail?
The percent of occurrence is the obtained results divided by the total tosses and multiplied by 100. Using this data for the two coins being tossed 100 times. Calculate the percent occurrence for each combination:
What is the percent of occurrence for two heads?
What is the percent of occurrence for two tails?
What is the percent of occurrence for one head and one tail?

please help me and dont just put random
stuff to get the points thank you <3 please help !

Respuesta :

So basically two things:
1) you're going to have to flip the coins (or fake numbers) for the experimental trials.
2) for the theoretical, there is 1/2 chance for heads or tails with each toss, so you'd expect that out of 10 tosses, 5 heads, 5 tails. out of 100 tosses- 50 heads, 50 tails.
When tossing 2 coins- 1/2×1/2 = 1/4 (25%) chance that 2 heads, 2 tails, or 1 heads & 1 tails. Deviation value comes from after you done your flipping and recorded your data. So if on 100 flips you actually got 50 and 50 (rarely us that exact ;), the deviation from the expected of 50/50 would be 0.00. If however you flipped 100 heads or 100 tails (impossible), then the deviation value would be 1.00.
|(100-50)| ÷ 50 = 50÷50 = 1.00
So usually you may have data like: 47/53 or something a little off than 50/50, making deviation |(47-50)| ÷ 50 = 3÷50 = 0.06.
Now the number of flips is important for the outcome! So if a coin toss if 10 times had 4 heads, 6 tails, the deviation value would be:
|(4-5)| ÷ 5 = 1÷5 = 0.20

So increasing the # flips DECREASES the deviation value!!
Whether it's from 10 to 100, or from 100 to 200. Look at my example of how the 10-flip deviation of 0.20 decreased to 0.06 with 100-flip