Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.
In a <em>normal distribution</em> 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.
In this problem:
- The mean is of 90 grams, hence
.
- The standard deviation is of 1 gram, hence
.
We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:



The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.
- Looking at the z-table, Z = -3 has a p-value of 0.0013.
2 x 0.0013 = 0.0026
0.0026 x 100% = 0.26%
0.26% of the items will either weigh less than 87 grams or more than 93 grams.
For more on the normal distribution, you can check brainly.com/question/24663213
Answer: Yes. The new average is 3
<u>Step-by-step explanation:</u>
25 students at 3 siblings each = 75 siblings
26 students has 75 siblings + 8 siblings = 83 siblings
New average is 83 siblings ÷ 26 students = 3.19 siblings per students
Answer:
4/9
Step-by-step explanation:
Wait is it for the answer if it is then 10-2 and 12-4
Answer:
b= 3.5
s= 10.5
p=21
Step-by-step explanation:
b for brush
s for sketch book
p for paint set
b=1/3s
s= 1/2 p
b+s+p=37-2
1/3 s +s+2 s =35
1/3 s +s +2 s =35
10/3 s=35
s= 35*3/10
s= 10.5
b=1/3 s = 10.5/3 = 3.5
s= 1/2 p so p= 2s = 2( 10.5) = 21
10.5+3.5 + 21 = 35