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:
3475347396
Step-by-step explanation:
yep
Answer:
it will take 25 hours
Step-by-step explanation: add 10 and 15
If you have the area of the rectangle, then the equation would be A = W*L
Lets say the area is 15 and the width is 3. You don't know what the length is. Just divide 3 into 15 to get 5. Hope this helps!
Hours to paint one room
<span>Jake: t hours </span>
<span>Lionel: t-2 hours </span>
<span>Wayne: (1.5)(t-2) hours </span>
<span>Now who is Donald? </span>
<span>Shall we assume that by "Donald" you meant "Wayne"? </span>
<span>If t is 6 hours, then the hours to paint one room is </span>
<span>Jake: 6 hours </span>
<span>Lionel: 4 hours </span>
<span>Wayne: 6 hours </span>
<span>This means that in one hour: </span>
<span>Jake can paint 1/6 of a room, </span>
<span>Lionel can paint 1/4 of a room, </span>
<span>Wayne can paint 1/6 of a room. </span>
<span>Added together, the three of them can paint (1/6 + 1/4 + 1/6) = 7/12 of a room in one hour.</span>