Statistics - math word problems - page 42 of 46
Number of problems found: 920
- Vitamin doses
Children and adults take the recommended daily dose of vitamins throughout the year. According to the package insert, the recommended daily dose for a child is half that of an adult. Two adults together consume one pack of vitamins in 30 days. How many da - Exam pass probability
During the exam, each student receives 30 different questions, from which he chooses 3 at random. To pass the exam, he needs to be able to answer two correctly. What is the probability that a student will pass if he mastered 70% of the questions (70% of t - Employee reduction probability
Seven women and 3 men work in one office. According to the new regulation, reducing the number of employees by three is necessary. In a random sample of employees, what is the probability that they will be fired: a. One woman and two men b. At least one w - Seed germination probability
The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown? - Covid-19
Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected. - Pharmacist
The pharmacist had a 12 liter vessel of herbal lotion, which contained a 30% active ingredient. Her assistant poured 18 liters of herbal lotion, containing 45% of the active ingredient, into a container. What percentage of herbal lotion was produced? - In the primary
In a primary school every year a knowledge competition is organised, in which each competitor can get at most 15 points. This year the average point achievement of the competitors, rounded to tenths, was 10.4. Jožko realised after the competition that som - Pillar
Calculate the volume of a pillar in the shape of a regular quadrilateral frustum (truncated pyramid) with base edges a = 10 and b = 19, and height h = 28. - Truck material delivery
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Peroxide
How many ml of 30% hydrogen peroxide (H2O2) should we add to 100 ml of water (H2O) to obtain a 20% solution? - Oil tank and pipes
Two oil pipelines can fill the underground oil tank. The first is filled in 72 hours, and the second in 48 hours. How many hours from when the first pipeline began to fill the oil is necessary to start filling it with the second to fill in 1 and 1/2 days? - Milk cream
How many percent of whipped cream do we make if we mix 41 liters of 38.8% whipped cream and 9 liters of 3.8% milk? (Percent means a percentage of milk fat). - Flu probability
In the monitored group of people, 8% are ill with the flu. One hundred people from this group were examined. What is the probability that at most 5 of them will be sick with the flu? (round to 3 decimal places) - Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 creates a mixture. What will the price of 100 grams of this mixture be? - TV fail
On average, a television set experiences 25 failures per 10,000 hours of use. Find the probability of a failure occurring within 400 hours of operation. - Biathlete shooting probability
According to long-term statistics, a biathlete has a shooting success rate of 72%. a) what is the probability that 4 targets will be hit on one item (5 shots). b) what is the probability that fewer than 4 targets are hit on one item (5 shots)? - 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 precisely one of t - Tank Fill Drain Time
The tank holds 140 liters of water. It is filled with a tap in 5 minutes, and the drain is emptied in 7 minutes. How long will it take for the empty tank to fill if we open the faucet and drain it? - Cyclists meeting
Two cyclists will set off simultaneously from one place on the circular cycling track. How long before they meet? Do you know that Charles will drive in 6 minutes and Laco in 10 minutes? - 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%?
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