Statistics - practice problems - page 7 of 46
Number of problems found: 920
- Family survey
A total of 160 families with 4 children each were surveyed with the following results. Boys; 4; 3; 2; 1; 0 Girls ; 0; 1; 2; 3; 4 Families; 7; 50; 55; 32; 16 Let the probability of picking a boy or a girl be 1/2. Let P=boy, Q=girl. What is the probability - 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 - One hour
If a pipe can fill a tank in 5 h and another pipe can empty the tank in 10 h, if both pipes are opened simultaneously, how many parts are filled in 1 hour? - According 10
According to the Board of Math Examiners, approximately 62% of people taking the Math Exam pass the exam. If 18 people who have taken the Math Exam are randomly selected, what is the probability that at least 76% have passed? Round your answer to 4 decima - A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month. - 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 - The mixture
If a 6-liter solution with a concentration of 20% alcohol is mixed with a 4-liter solution with a 60% concentration of alcohol. Find the percentage of alcohol in the mixture. - Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share? - A piece of work 12 men or 18 women can do a piece of work in 14 days, then how long 8 men and 16 women take to finish the work?
- 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? - 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? - Average time
Determine the weighted average time required in minutes per product, given that 6 workers each take 8 minutes, 15 workers each take 12 minutes, 5 workers each take 10 minutes, and 9 workers each take 13 minutes. - Tank - fuel prices
I have a car with a 50-litre tank. I want to calculate the weighted average price of a full tank of fuel at the end of the year. In December, 30 litres were filled at 37.50 CZK per litre, and in November, 40 litres at 38.40 CZK per litre. What is the weig - Pupils 22
Pupils of the graduating class at the Business Academy in Banská Bystrica had from the written test in Slovak language the following marks: 2, 2, 3, 3, 1, 4, 4, 2, 3, 5, 3, 3, 3, 4, 2, 4, 1, 1, 2, 3, 4, 5, 1, 3, 3, 2, 2, 3, 2, 1. Create a frequency distri - Number distant equally
Which number is also distant from the numbers 5.3 and 7.7 on the number line? - Family height statistics The average height of a member of a family of five is 1.5 m, the mode of their height is 1.2 m and the median is 1.6 m. Find out the heights of individual members of this family if you know that they are integers in dm.
- Distribution if the IQ
Assume that the IQ in the population follows a normal distribution with a mean of 100 points and a standard deviation of 10 points. With what probability among 15 randomly selected people: a. Is there anyone with an IQ above 130 points? b. Are there at le - Car consumption average The car consumes up to 16 l in the city, but on a longer trip, the consumption drops to 10 l? 500 km per month in the city and 1650 km outside the city. What is the consumption of a car per 100 km?
- Express train passengers
The International Express has eight cars. There are from 97 to 105 passengers in each car. Approximately how many passengers will be carried by express train? - Rice - packaging line
An automatic machine weighs rice into packages on a packaging line. Suppose that the mass of rice in a package is a random variable which has a normal probability distribution with mean value (Greek letter Mu) = 500 g and standard deviation (Greek letter
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