Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
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 n instances of a normal variable, the mean is
while the standard deviation is
.
In this problem:
- Mean of 4 candies, hence
. - Standard deviation of 1.5 candies, hence
. - She visited 35 houses, hence

The probability is the <u>p-value of Z when X = 122</u>, hence:

By the Central Limit Theorem



has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at brainly.com/question/24663213
Answer: negative
you can see the line into the middle going inside of the negative.
Answer:
25 and 54
Step-by-step explanation:
(a)
6z² - 2z + 5 ← substitute z = 2
= 6(2)² - 2(2) + 5
= 6(4) - 4 + 5
= 24 - 4 + 5
= 20 + 5
= 25
(b)
64 - 5z ← substitute z = 2
= 64 - 5(2)
= 64 - 10
= 54
No, it is <u>not</u> a translation. The arrow starts pointing to the right and then points upward. A translation would have the arrow always pointing right the entire time, only that its position would move.
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Problem 2
We can shift the K up 6 units to get what you see in the attached image below