Probability - high school - practice problems - page 6 of 16
Number of problems found: 314
- Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r - 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 - Nursing school
The following table shows 1000 nursing school applicants classified according to scores made on a college entrance examination and the quality of the high school from which they graduated, as rated by a group of educators: Quality of High Schools Score; - School student
The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81, and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or
- 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 - Sample Proportion
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. Four hundred students are randomly selected from the college, and 224 of - 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? - 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 - Rich retirement
Health care issues are receiving much attention in both academic and political arenas. A sociologist recently surveyed citizens over 60 years of age whose net worth is too high to qualify for government health care but who have no private health insurance
- The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - Mortality tables
Mortality tables enable actuaries to obtain the probability that a person will live a specified number of years at any age. Insurance companies and others use such probabilities to determine life insurance premiums, retirement pensions, and annuity paymen - An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is indepe - 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?
- And-or probabilities
P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.18. Find P(A U B ). Round approximations to two decimal places. - Draw a triangle
We have line segments with lengths of 3cm, 5cm, 6cm, 7cm, and 9cm. What is the probability in % that if I randomly select three of them, I will be able to draw a triangle? - Poisson distribution - daisies
The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow. - Three sigma rule
The height of trees in a given stand is known to be a quantity with a normal probability distribution with a mean value of 15 m and a variance of 5 m². Determine the interval in which there will be tree heights in such a stand with a probability of 90% - A machine
A machine produces steel rods of normally distributed length, the mean length and the standard deviation being 50.0 cm and 0.5 cm, respectively. The rods do not conform to safety standards if they are either shorter than 49.1 cm or longer than 50.7 cm in
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