# Distribution function

X 2 3 4
P 0.35 0.35 0.3

The data in this table do I calculate the distribution function F(x) and then probability p(2.5 <ξ <3.25) p(2.8 <ξ) and p(3.25> ξ)

Result

p1 =  0.35
p2 =  0.3
p3 =  0.65

#### Solution:

$F_{ 2 } = 0.3 \ \\ F_{ 3 } = F_{ 2 }+0.35 = 0.3+0.35 = \dfrac{ 13 }{ 20 } = 0.65 \ \\ F_{ 4 } = F_{ 3 }+0.35 = 0.65+0.35 = 1 \ \\ p_{ 1 } = 0.35 = \dfrac{ 7 }{ 20 }$
$p_{ 2 } = 0.3 = \dfrac{ 3 }{ 10 }$
$p_{ 3 } = 0.3+0.35 = 0.65 = \dfrac{ 13 }{ 20 }$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Looking for a statistical calculator?
Would you like to compute count of combinations?

## Next similar math problems:

1. Sales
From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
2. Component fail
There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
3. Test
The teacher prepared a test with ten questions. The student has the option to choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that: a) He answers half correctly. b) He answers
4. Family
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
5. Internet anywhere
In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
6. Records
Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors?
7. Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has 3 children. What is the probability of this family having one child who inherited
8. Ball bearings
One bearing is selected from the shipment of ball bearings. It is known from previous deliveries that the inner bearing radius can be considered as a normal distribution of N (µ = 0.400, σ2 = 25.10^−6). Calculate the probability that the selected radius w
9. Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random (i) one is negative while the other tested positive? (i) both patien
10. Dice
We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
11. Normal distribution GPA
The average GPA is 2.78 with a standard deviation of 4.5. What are students in the bottom the 20% having what GPA?
12. Shooters
In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once.
13. Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability 0.04. The problem is resolved
14. Auto-tuning
During auto-tuning, the TV searched for 25 channels, four of which were music. The channels are stored in the TV's memory in random order. Express the percentage of the event that the music channel will be saved first.
15. Balls
We have n identical balls (numbered 1-n) is selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides.
16. Cards
The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
17. Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl?