Statistics - practice problems - page 7 of 46
Number of problems found: 919
- 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? - 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 - 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? - Entrance exam
In a college entrance exam, the participants are rated as excellent, very good, good, and fair. Consider that the scores in the exam are normally distributed with a mean of 78 and a standard deviation of 7.5. The participants receiving the top 5% of the s - IQR and range The times spent in minutes by 20 people waiting in a queue at the bank for a teller were: 3.4, 2.1, 3.8, 2.2, 4.5, 1.4, 0,0, 1.6, 4.8, 1.5, 1.9, 0, 3.6, 5.2, 2.7, 3.0, 0.8, 3.8, 5.2, Find the range and interquartile range of the waiting times.
- A batsman A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range.
- Z score transformation Suppose a distribution has a mean µ = 8 and standard deviation σ = 4. What is the value of x if it is z = +1.50?
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