Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
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 3 inches, hence
.
- The standard deviation is of 0.009 inches, hence
.
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:



The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
The tree is 11ft
explanation: javier is 5ft 5-1 =4
11-1=10 <span />
Answer:
x=0.87 or 86.67%
13 prescription claims out of 15 are paid
Step-by-step explanation:
First we organize the data:
prescription claims submitted: 4500
Prescriptions: 3900
The rate of claims paid is calculated using the following formula:

We know that:
Paid = 3900
Total = 4500
So



x=0.87