Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 30 to 90. What is the probability that this experiment results in an outcome less than 40?
A) 0.08 B) 0.27 C) 0.17 D) 1
Q. 2In a poll of 625 voters in a certain city, 79 said that they backed a bill which would limit growth and development in their city. The margin of error in the poll was reported as 4 percentage points (with a 95 degree of confidence).
Which statement is correct?
A) For the given sample size, the margin of error should be smaller than stated
B) There is not enough information to determine whether the margin of error is consistent with the sample size
C) The reported margin of error is consistent with the sample size
D) The sample size is too small to achieve the stated margin of error
Q. 3A machine is set to pump cleanser into a process at the rate of 7 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 6.5 to 9.
5 gallons per minute. Find the probability that between 7.0 gallons and 8.0 gallons are pumped during a randomly selected minute.
A) 0.33 B) 0 C) 1 D) 0.67
Q. 4The probability that a person has immunity to a particular disease is 0.2. Find the mean for the random variable X, the number who have immunity in samples of size 22.
A) 4.4 B) 11 C) 17.6 D) 0.2
Q. 5A magazine poll of unemployed men in the U.S. stated 22 of those polled suffer from clinical depression; the margin of error for the poll is plus or minus 6 percentage points.
How would you interpret this statement? Assume that the margin of error is associated with a 95 confidence interval.
A) We can be 95 confident that the percentage of all unemployed men in the U.S. who suffer from clinical depression is somewhere between 16 and 28.
B) A confidence interval for the percentage of all unemployed men in the U.S. who suffer from clinical depression is 17 to 27. There is a 6 chance that this interval does not include the population proportion
Q. 6The top speeds (in mph) for a sample of five new automobile brands are listed below. Calculate the standard deviation of the speeds.
155, 135, 200, 175, 100
A) 100 mph B) 153.00 mph C) 38.2 mph D) 29,223.00 mph
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