Probability - math word problems - page 16 of 27
Number of problems found: 536
- Component deviation probability
There are 200 components in the production batch, of which 26 have a plus deviation from the nominal value. Calculate the probability that none of the 10 products selected will have a positive variance if we make selections without repetition - The shooter
The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting them is 0.2. The shooter fires until he hits the target for the first time, then stops firing. (a) What is the most likely nu - Side effect probability The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%?
- Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n - Customer satisfaction probability Let the random variable ξ represent the number of satisfied customers. The probability of a satisfied customer for each of the four customers is 7/10. Specify: a) probability distribution, distribution function F(x) and P(-0.5 < ξ < 3.1) b) variance
- Drawing from a hat
When drawing numbers from a hat from 1 to 35, we select randomly given numbers. What is the probability that the drawn numbers will be divisible by 8 and 2? - Probability
A man had 4 coins, some worth $2 and some worth $1. Each coin had a number on one side and a picture on the other. The man flipped them, and the sum of the numbers showing on top was 1. The probability of this happening was 1/8. What was the probability t - Screws
The box contains eight iron, six brass, and four titanium screws. What is the probability that the randomly selected screw will not be brass? - Ball color probability
There are ten red, six blue, and eight green balls in the hat. What is the probability that a randomly selected ball is blue or red? - 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? - Sum of fall dices
What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. ... 31 32. .. . . . . . .. . 66, count them; it's the variable n Variable m: 36, 63,... wri - Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)? - The box
The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What probability will we take out one chocolate, one fruit, and one menthol candy without a return? - Number probability calculation
1. What is the probability that we write an even number from the numbers from 1 to 20? 2. We randomly draw one ticket From the eighteen tickets numbered 1 - 18. What is the probability that the ticket drawn will have: a) a number divisible by 3 c) a prime - In mass
In the mass production of a product, the average dimension is 250 mm, whereas the dimensions of individual products due to inaccuracies in the production fluctuate around this mean value. The dimension of the products has a normal distribution with standa - Circle line probability
A rectangular grid consists of two mutually perpendicular systems of parallel lines with a distance of 2. We throw a circle with a diameter of 1 on this plane. Calculate the probability that this circle: a) overlaps one of the straight lines; b) do any of - Six questions test
There are six questions in the test. There are three answers to each - only one is correct. To take the exam, students must answer at least four questions correctly. Alan didn't learn, so he circled the answers only by guessing. What is the probability th - Specialist hiring probability
A private company will hire two IT specialists. Thomas is among the five registered candidates. What is the probability that he will not be accepted? - Probability
In a batch of 500 products, there are 10 defective items. In a statistical inspection, 40 products are selected at random from the batch without replacement. The batch is considered satisfactory if there is at most one defective product among the 40 inspe - Hospital death probability
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
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