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Question:
New spark plugs have just been installed in a small airplane with a four-cylinder engine. There is one spark plug per cylinder, so four spark plugs have just been installed. For each spark plug, the probability that it is defective and will fail during its first 20 minutes of flight is 1/10,000, independent of the other plugs.
(a) For each spark plug, what is the probability that it will not fail?
(b) If only one spark plug fails, the plane will shake and not climb higher, but it can be landed safely. What is the probability that this happens? Calculate using the appropriate formula.
(c) If two or more spark plugs fail, the plane will crash. What is the probability that this happens? You may use software to help determine this probability.
(d) Given that one spark plug fails, what is the probability that the plane will still land safely?
The planned shortage inventory model recommends order quantity Q* = 70 and shortage level S = 18. Which of the following statement is incorrect?
Some of these items are not up to quality specifications and have to be thrown out. At this rate, how many mistakes can be made while maintaining an acceptable success rate?
In the 1992 U.S. presidential election, Bill Clinton received 43% of the vote compared to 38% for George H. W. Bush and 19% for Ross Perot. Suppose we had taken a random sample of 100 voters in an exit poll and asked them for whom they had voted.
First part of this theorem allows a problem solver to compute probabilities about sample means regardless of whether a population is normally distributed.
Now compute the standard deviation for this distribution.
a score that is 6 points below the mean corresponds to a z- score of z -0.50. what is the population standard
Find the mean, median, mode, sample variance, and range. Do you think that this sample might have come from a normal population? Why or why not?
The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
A small company that manufactures computers computer received 10 shipments of the chips in lots of 20 chips from the manufacturer. what is the probability that there will be 2 shipments with at least one defective chip?
While 3% of the cellular calls with company B will have interference. Given that a randomly selected cellular call is that has interference, what is the probability it came from company A.
State the alternative hypothesis in statistical terms. Define the critical region by drawing the distribution and labeling the z-critical value.
In a random sample of 150 sports cars, 60 failed emissions on the first pass. Is there sufficient evidence to indicate that the percentage of first failure for sports cars is higher than the percentage for all passenger cars?
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