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
Check the picture. There are 2 interior common tangents, and 2 exterior common tangents which can be drawn.
Answer: 4
The Mid - point of the line segment is at coordinates - M(- 7.5, 0.5)
We have two coordinate points - A(- 10, 2) and B(- 5, -1)
We have to find the midpoint of this line AB.
<h3>What is Mid - Point Theorem?</h3>
It states that a line with endpoint coordinates as -
and
has its mid - point at the coordinates -

According to question, we have -
First coordinate Point -
= (- 10, 2)
Second coordinate Point -
= (- 5, - 1)
Using the Mid - Point formula, we get -
=

Hence, the Mid - point of the line segment is at coordinates -
M(- 7.5, 0.5)
To solve more questions on Mid - points, visit the link below -
brainly.com/question/25377004
#SPJ1
Answer:
60WPM
Step-by-step explanation:
120/2 = 60
3.92
= 1.00 + 1.00 + 1.00 + 0.92
= 100/100 + 100/100 + 100/100 + 92/100
= 300/100 + 92/100
= 392/100
-------------------------------------------------------
392/100 = 196/50 = 98/25