Answer:
£152.
Step-by-step explanation:
We have been given that a bottle contains 255 coins. 1/3 of the coins are £1.00.
Let us find 1/3 of 255 to find the number of £1 coins.
This means we have £85.
We are also told that 110 of the coins are 50 p coins.
Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.
Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.
Therefore, the total value of the coins contained in the bottle is £152.
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is 
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that 
Samples of n:
This means that the standard deviation is:
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
