Answer:
Step-by-step explanation:
Sample proportion p is the proportion of favourable numbers to total number in the sample
By central limit theorem and also approximation of binomial to normal , we have sample proportion for large number of samples will be normal
with mean = sample proportion
and std deviation = 
Thus we find standard deviation of proportion sample is inversely proportional to the square of the sample size n.
It follows automatically that as sample size increases std deviation decreases.
Here from 80 sample size was made to 200
So std deviation would decrease automatically
Preston have to get some correct and some incorrect answers.
Answer:
the 25% chance is wrong, it is actually 20%
Step-by-step explanation:
Based on the table of trials shown in the picture, it seems that the 25% chance is wrong. In the table, there are 10 trials and each one has 5 numbers generated, meaning there are a total of 50 numbers generated. Out of these 50 numbers, only 10 are the number 3. Since 3 is the only number that represents a three-point shot, that would make it a 20% (10 / 50) chance that Dane makes a three-point shot in a basketball game.
Answer:
The answer is First option
1/2^12
.

Step-by-step explanation:
Given:
(2^-3)^4
i.e

To Find:

Solution:
Law of Indices

Using the above Property we get
∴ 
The answer is First option
1/2^12
.
