Combinatorics - math word problems - page 46 of 52
Number of problems found: 1029
- Probability 9771
What is the probability that ten molecules will arrange within the brown motion to be one molecule in the lower half and nine molecules in the upper half in one vessel?
- The box
Does the box contain three light bulbs with a wattage of 40 W and two pieces of light bulbs with a wattage of 60 W. What is the probability of the event that two randomly selected light bulbs will both be 40 W?
- Balls
We have n identical balls (numbered 1-n) 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 wi
- Probability 80858
During the exam, the student takes 3 questions out of 30. He is ready for 20 of them. Find the probability that he draws at most 2 that he knows.
- Distribution 6399
For the statistical file: 2.3; 3.4; 1.8; 3.2; 3.2; 1.9; 3.3; 4.5; 4.3; 5.0; 4.8; 4.3; 4.3; 1.9 Determine the sample variance and the median, and from the empirical distribution function, determine P (2.1
- Anniversary 63804
Out of 3,000 employees of a certain company, 1,800 are men. The management decided that on the occasion of the company's anniversary celebration, it will give special rewards to 10 randomly drawn employees. What is the probability that the sample will be
- Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points?
- Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.)
- Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points?
- Distribution 73724
The distribution of the random variable X is given in the following table. Calculate P[X is odd], E[X] and P[1<X≤6] Probability distribution table: xi; 1; 2; 3 ; 4; 5; 6; 7; 8; 9 pi; 0.30; 0.12; 0.18; 0.10; 0.07; 0.07; 0.06; 0.05; 0.05
- Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle?
- Effectiveness 80811
According to clinical studies, the effectiveness of the drug is 90%. The doctor prescribed the medicine to eight patients. What is the probability that the drug will be effective in all these patients?
- A math
A math teacher teaches Geometry and Precalculus. 37% of students take both math classes, and only 39% take just Geometry. What is the probability that a student will attend Precalculus given that they attended Geometry? What is the percentage of students
- The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making
- Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points?
- Statistically 25181
Statistically, in a city of 100,000 inhabitants, 600 people die in one year. During the year, 2,000 people received hospital treatment, and 120 of them died there. Calculate the probability that a citizen who comes to the hospital for treatment will die t
- Seeds
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate?
- Probability 82993
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will grow?
- Probability 73714
I roll six six-sided dice; what is the probability that exactly three threes will fall?
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