The answer for the first question would be 3952+3952 =7903
17.01+5+2+3= 27.01 (total expense)
100-27.01= 72.99 (change)
5+2= 7 (total winnings)
72.99+7.00= 79.99 (total change).
Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean

The standard deviation of the sampling distribution is given by:

b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
0.32% is the answer and i need 20 characters to type this answer so dont mind this.