Probability - math word problems - page 15 of 24
Number of problems found: 478
- Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%?
- Lifespan
The lifetime of a light bulb is a random variable with a normal distribution of x = 300 hours, σ = 35 hours. a) What is the probability that a randomly selected light bulb will have a lifespan of more than 320 hours? b) To what value of L hours can the la
- Functionality 24461
The daily product consists of 1000 components, and the probability of failure of any component during the use of the device is 0.001. It does not depend on other components. What is the probability of failure of two components in the investigated period o
- Probability 24291
Today, one-fifth of 30 students still need to complete a homework assignment. What is the teacher's probability of randomly selecting a pupil with homework during the check?
- All use computer
It is reported that 72% of working women use computers at work. Choose three women at random, and find the probability that all three women use a computer in their jobs.
- Average height
There are twice as many girls in the class as there are boys. The average height of girls is 177 cm, and boys 186 cm. What is the average height of students in this class?
- Gold, silver, bronze
How many ways can we divide gold, silver, and bronze medals if six people compete?
- The manufacturer
The manufacturer found that 3% of the plates produced had a malfunction. Of the complaint, 75% are first and 25% second. What is the probability of producing first and second-class plates?
- Probability
How probable is a randomly selected three-digit number divisible by five or seven?
- The test
The test contains four questions, with five different answers to each of them, of which only one is correct, and the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answers to
- Probability 22033
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective?
- Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice?
- Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%?
- Correctly 20713
Out of 30 tasks, Peter solved 24 correctly. Find success rate in percent.
- Corona again
The population on long island is 7.75 million, and the coronavirus has affected 22,178. What percent of the population is affected? (looking for one case per n people)
- Significant 19983
We roll two dice, red and green. What probability will a more significant number fall on the red dice than on the green?
- Non-conforming 19863
The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming
- Successfully 19843
The drug successfully treats the disease in 96% of cases. Your doctor will treat 50 patients with this medicine. What number of cures is most likely?
- School club
Six boys, nine girls, and a teacher played in the school club. What probability will they point at the boy when they play the counting game?
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