Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean
and standard error 
In this problem:
- Sample of 500 customers, hence
.
- Amazon believes that the proportion is of 70%, hence
The <u>mean and the standard error</u> are given by:
The probability is the <u>p-value of Z when X = 0.68</u>, hence:
By the Central Limit Theorem
has a p-value of 0.1635.
0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
A similar problem is given at brainly.com/question/25735688
Answer:
864 m²
Step-by-step explanation:
- First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
- Let A' be the total area of the four small rectangles and A" the area of one small rectangle
- A' = 4 A"
- A' = 4 [(
)*(
)] - A' = 4*58*48
- A' = 11136 m²
- Substract the A' from A to get the area of the road
Let A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
You are given the unknown number which has a quotient of 3 and a
remainder of 28. This means that 3 is the whole number from the division of the
unknown number and 43 and 28 is the decimal, 3.28. Also, the number is divided
by 43 too. Let us denote n as the number so we have n/43. Then equate the n/43
to 3.28.
n/43 = 3.28
n = 43 (3.28)
n = 141.04
<span>The number is 141. 04</span>
