Combinatorics - math word problems - page 48 of 55
Number of problems found: 1085
- Statistical Data Analysis
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 - Target probability
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - Specialist hiring probability
A private company will hire two IT specialists. Tomáš is among the five registered candidates. What is the probability that he will not be accepted? - Product good probability
There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good? - Exam question probability
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. - 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? - 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 - Shooter
The probability that a good shooter hits the center of the target circle No. I is 0.13. The probability that the target hit the inner circle II is 0.58. What is the probability that it hits the target circle I or II? - Source failure probability I have 3 sources, and their failure probability is 0.1. Calculate the probability that: a) none will have a malfunction b) 1 will have a breakdown c) at least 1 will have a fault d) they will all have a breakdown
- Mastering
The student masters the subject matter for the exam in Czech to 98%, from Math to 86%, and from Economics to 71%. What is the probability that he will fail in Math and that others will succeed? - CFO Director
The financial director has determined the following profitability scenarios for the profitability of the new branch of the company: Profit of 5 million CZK with probability 0.1. Profit of 3 million CZK with probability 0.3. Profit of 1 million CZK with pr - Random variable distribution
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 - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Dice
We threw ten times playing dice. What is the probability that the six will fall exactly four times? - Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50? - Machine defect probability
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - The average 7
The average lifespan for cricket is 90 days, with a standard deviation of 13 days. If we assume that the lifespan of cricket is normally distributed, a. What is the probability a randomly selected cricket has a lifespan of fewer than 75 days? b. What is t - Probability - dice
I roll six six-sided dice; what is the probability that exactly three threes will fall? - Combi-triangle
Each square side is marked 13 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Target zone probability
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target?
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