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Q 1. (a) Cars on a toll road arrive at the payment booth at an average rate of 80 per) hour. What is the probability of no cars arriving in an interval of 2.5 minutes?
(b) At the same toll booth what is the probability that the time to the next car arriving will be between one and two minutes?
Q 2.
Rate (N)
Frequency
32.5
33.0
33.5
34.0
34.5
35.0
35.5
36.0
36.5
37.0
(a) Does it seem that the "rates" are Normally distributed? (Provide clear evidence for your conclusion).
(b) If the distribution were Normal. what proportion of all springs would be expected to lie outside the specification?
(c) From the sample, does it seem that the population mean is on target?
Suppose also that the mean score on test A is 85, and the standard deviation is 10; the mean score on test B is 90, and the standard deviation is 16; the scores on the two tests have a bivariate normal distribution; and the correlation of the two ..
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206 randomly selected light bulbs were tested in a laboratory, 161 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.
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1. Suppose that 4 items are selected at random from manufacturing process. Each item is inspected and classified defective (D) or non-defective (N).
the current price of a non-dividend paying stock is 40 and the continuously compounded risk-free rate of return is 8.
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