Combinatorial number + binomial distribution - practice problems - page 2 of 4
Number of problems found: 64
- Five identical
Five identical coins are tossed. What is the probability of more than one head? - Probability 69914
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 - Anniversary 63804
Out of 3,000 employees of a certain company, 1,800 are men. The management decided that on the occasion of the company's anniversary celebration, it will give special rewards to 10 randomly drawn employees. What is the probability that the sample will be - Probability 59493
Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces. - Pass a test
The student has to pass a test that contains ten questions. For each of them, he chooses one of 5 answers, with just one being correct. The student did not prepare for the test, so he randomly chose the answers. What are the probabilities that the student - Population variance
In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If eight students are randomly selected, find the population variance σ² - Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50? - Probability 53061
One hundred people work in the office. Each of them spends an average of 25 minutes daily on the phone. A working day has 8 hours. What is the probability that ten workers will be on the phone simultaneously in one day? - Probability 47373
We were tasked with throwing the dice until we hit the "six." a) Find the average number of throws we will have to make to complete the task. b) How many times do we have to roll the dice so that the probability of falling at least one "six" is at least 9 - Bernoulli distribution
The production of solar cells produces 2% of defective cells. Assume the cells are independent and that a lot contains 800 cells. Approximate the probability that less than 20 cells are defective. (Answer to the nearest three decimals). - Probability 38083
The police solved 21 crimes in the monitored period. The probability of solving a crime is 0.64. What is the probability that the police: a) just solved 7 crimes b) did not solve at least 2 criminal offenses P.S. Let's assume ideal police officers - Probability 38041
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 - Probability 37651
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, If the probability of a boy is 0.51? - 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. - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - 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? - Wimbledon finals
Serena Williams made a successful first serve 67% 0f the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves six times in the first game, determine the probability that: - Alopecia
Medical literature indicates that 45% of men suffer from alopecia. For a random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most, two men suffer from alopecia. - Playing cards
From 32 playing cards containing eight red cards, we choose four cards. What is the probability that just two will be red? - Probability 30421
There are 25 students in the class, 12 of whom are not ready for math. There are five students in the math class. What is the probability of at least 3 being math-ready?
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