Probability - math word problems - page 17 of 27

Number of problems found: 536

Aircraft 14
An aircraft is to arrive according to the flight schedule at 10:15 a.m. Statistics state that out of 100 aircraft on average 10 land between 10:00 and 10:15, 40 between 10:15 and 10:30, 30 land between 10:30 and 11:00, 10 between 11:00 and 12:00, and 10 a
Scrap probability
Five hundred of the products in the series are to be inspected with a repeat check. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20.
Probability of failures
The probability of failure in specific productions is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return them to the file after the check.
Birthday paradox
How large must a group of people be so that the probability of at least two people sharing a birthday is greater than 90%?
Probability - products
Based on previous inspection, it is known that 3% of defective products occur during the manufacturing of a certain product. a) Calculate the probability that among 100 randomly selected products there are exactly 2 defective ones, assuming each product i
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
Component failure probability
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
Homework probability
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
Defective bulb probability
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%?
Task success percentage
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)
Dice roll probability
We roll two dice, red and green. What probability will a more significant number fall on the red dice than on the green?

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.