Answer:
Right or positively skewed
Step-by-step explanation:
From the median and the interquartile range we can find the first and third quartile values Q3=40.15+(4.98/2)=42.64 and Q1=37.66.
Now we have enough evidence to conclude that is Right or positively skewed
1. The mean is above the median
2. The mean is 43.70, which is above the third quartile (42.64), meaning that after the mean there's less than 30% of the data.
The evidence suggests that most of the data is concentrated at the bottom of the distribution making it right or positively skewed.
Rearrange the ODE as
Take
, so that
.
Supposing that
, we have
, from which it follows that
So we can write the ODE as
which is linear in
. Multiplying both sides by
, we have
![\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cbigg%5Be%5E%7Bx%5E2%7Du%5Cbigg%5D%3Dx%5E3e%5E%7Bx%5E2%7D)
Integrate both sides with respect to
:
![\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cbigg%5Be%5E%7Bx%5E2%7Du%5Cbigg%5D%5C%2C%5Cmathrm%20dx%3D%5Cint%20x%5E3e%5E%7Bx%5E2%7D%5C%2C%5Cmathrm%20dx)
Substitute
, so that
. Then
Integrate the right hand side by parts using
You should end up with
and provided that we restrict
, we can write
Answer:
The probability that an applicant does not get a job if he or she has an interview is 20%.
Step-by-step explanation:
- If the applicant has been interviewed, then she/he belongs to the group of 20 people that had an interview.
- 16 of the 20 people who were interviewed were offered a job, which means that 4 of the 20 people interviewed were not offered a job.
- Then, 4/20= 20% of the people who were intervied did not get a job, which means that the <u>probability that an applicant does not get a job if he/she were interviewed is 20%</u>.
- Pat attention: this probability results from analysing the probability of getting a job once you have had an interview (this condition restricts our attention to the group of 20 people who had an interview, and not to the hole group of 500 people who did apply for the job).
