Binomial Probability Distribution

The Complaints Department of a popular used car dealer receives most complaints about the electrical system, particularly the starter. The department sent questionnaires to 300 owners of two-year-old, used, full-sized vehicles. The survey showed 15% of the owners had trouble with the starter. Based on the result of the survey, what is the probability that, in a sample of 12 owners, A) exactly two owners will have starter problems. B) at least one owner will have starter problems.

Probability Distributions: Normal Distribution

Foreign service employees receive housing allowances when posted abroad. These allowances average $30000 annually. Assume that a normal distribution applies and the standard deviation is $5000. A) What is the probability that a diplomat will receive a housing allowance exceeding $35000? B) What is the probability that a diplomat will receive a housing allowance between $27800 and $32200? C) What percentage of employees will receive allowances between $25000 and $35000?

Probability Distributions: Normal Distribution

According to the census, the average age of men marrying for the first time is 24 years. Assume ages of men are normally distributed with a standard deviation of three years. A) What is the probability that a man being married for the first time is older than 26 years? B) Before what age do 95% of men who marry for the first time get married?

Probability Distributions: Normal Distribution

It is known that the IQ scores of workers in a certain company are normally distributed with a standard deviation of ten. If 0.13% of the workers have IQ's in excess of 130 calculate the mean IQ.

Probability Distributions

A recently published study shows that a country's true unemployment rate to be 12%. Assume that 300 members of the labour force are selected at random. A) What is the expected number of people unemployed? B) What is the probability that exactly 29 people are unemployed? C)What is the probability that at least 29 people are unemployed? D) What is the probability that not more than 29 people are unemployed?