For a binomial distribution, which probability is not equal to the probability of 1 success in 5 ...

For a binomial distribution, which probability is not equal to the probability of 1 success in 5 trials where the probability of success is .4?
 
  A) the probability of 4 failures in 5 trials where the probability of success is .4
  B) the probability of 1 success in 5 trials where the probability of failure is .6
  C) the probability of 4 failures in 5 trials where the probability of success is .6
  D) the probability of 4 failures in 5 trials where the probability of failure is .6

Q. 2

For quantitative data, the target parameter is most likely to be the mode of the data.
 
  A) True B) False

Q. 3

The Central Limit Theorem is important in statistics because _____.
 
  A) for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size
  B) for a large n, it says the population is approximately normal
  C) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the population
  D) for any size sample, it says the sampling distribution of the sample mean is approximately normal

Q. 4

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 45 of all employees believe their company president possesses low ethical standards.
 
  Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?
  A) No, the employees would not be considered independent in the present sample.
  B) Yes, the sample size is n = 20.
  C) Yes, the sample is a random and independent sample.
  D) No, a binomial distribution requires only two possible outcomes for each experimental unit sampled.

Q. 5

For data with two outcomes (success or failure), the binomial proportion of successes is likely to be the parameter of interest.
 
  A) True B) False

Q. 6

A machine is set to pump cleanser into a process at the rate of 8 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described
 
  by the uniform distribution over the interval 7.5 to 9.5 gallons per minute. Find the variance of the distribution.
  A) 24.08 B) 0.33 C) 0.08 D) 5.33

Q. 7

The random variable x represents the number of boys in a family with three children. Assuming that births of boys and girls are equally likely, find the mean and standard deviation for the random variable x.
 
  A) mean: 1.50; standard deviation: .76 B) mean: 1.50; standard deviation: .87
  C) mean: 2.25; standard deviation: .87 D) mean: 2.25; standard deviation: .76