Percentages + binomial distribution - practice problems
Number of problems found: 39
- Drunken drivers
40% of drivers driving between 11 pm and 5 am are drunken drivers. In a random sample of 20 drivers driving between 11 pm and 5 am, find the probability that: A) Exactly 12 will be drunken drivers B) At least 7 will be drunken drivers C) At most 5 will be - Defect rate
A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect? - A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people? - Repairs
A small repair shop orders parts for its repairs. Its supplier claims that only 2% of its parts are defective. In order of 500 parts, an employee takes a sample of 100 parts. Determine the likelihood that the employee finds three or more parts are defecti - Competition 82310
In the shooting competition, each shooter fires 5 shots. Shooter Muška will hit the target with one shot with a probability of 60%. What is the probability that he hits at least once out of five shots? - Probability 81677
The probability that a plant will grow from a seed is 75%. What is the probability that 5 plants will grow if we assemble 6 seeds? - Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Effectiveness 80811
According to clinical studies, the effectiveness of the drug is 90%. The doctor prescribed the medicine to eight patients. What is the probability that the drug will be effective in all these patients? - Manufacturer 80810
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? - Probability 80723
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)? - Yarhands
Yarhands statistical consult conducted statistical analysis on the election results from 1992 to 2012 to assess the chances of the NPP winning the election in Ghana's Volta region. The research reveals that 15% of inhabitants in the Volta region favor the - Overbooking flight
A small regional carrier accepted 12 reservations for a particular flight with 11 seats. Seven reservations went to regular customers who would arrive for the flight. Each remaining passenger will arrive for the flight with a 49% chance, independently of - 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 - Distribution 67074
The time required to complete the test has a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. What percentage of students take the test within 30 minutes? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. percentage of puls - Significance 61784
Determine the interval estimate of the standard deviation of the meantime to find a parking space. We found out from a survey of 200 residents that the average time is one hour and 25 minutes, and the standard deviation is 15 minutes. Use a 1% significanc - Error rate
The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed? - Germination 55283
The supplier of spruce seeds for our nursery declares a germination rate of 80% for his goods. Verify this statement based on an experiment in which only 70 seeds germinated out of 100 randomly selected seeds. - Suppose 4
Suppose that 14% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be - Level of significance
At a certain college, it is estimated that 25% of the students have cars on campus. Does this seem to be a valid estimate if, in a random sample of 90 college students, 28 are found to have cars? Use a 0.05 level of significance.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.