Suppose a bus arrives at a station such that the time between arrivals is exponentially distributed with rate 1/λ. To get home, you decide to wait for the bus for some number of minutes t. If the bus has arrived before t minutes, you take the bus home which takes time B. If the bus has not arrived after t minutes, you walk home which takes time W. (a) What is the expected total time from getting to the bus stop until getting home? (b) Suppose W < 1/λ + B at what value of t is the expected wait […]
A box of nine golf gloves contains two left-handed and seven right-handed . box without replacement, what is the probability that (X) both gloves are…
A box of nine golf gloves contains two left-handed and seven right-handed … box without replacement, what is the probability that— (X) both gloves are right handed and (Y) one left-handed and one … (iii) If two gloves are randomly selected with replacement, what is the probability that they would both be right-handed?
In an English Class, the midterm exam raw scores (i., the values of x) form a normal distribution, with a mean of 239 and a standard deviation of 37….
In an English Class, the midterm exam raw scores (i.e., the values of x) form a normal distribution, with a mean of 239 and a standard deviation of 37. What percentage of exam scores are more than 1.5 standard deviations of distance away from the mean?
According to the Coffee Research Organization (http://www.coffeeresearch.org) the typical American coffee drinker consumes an average of 3.1 cups per…
According to the Coffee Research Organization (http://www.coffeeresearch.org) the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday. At the .05 significance level does this sample data suggest there is a difference between the national average and the sample mean from senior citizens?
Suppose the time arrival between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes. a) What is the mean of the time int
Suppose the time arrival between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes. a) What is the mean of the time interval? b) What is the variance of the time interval? c) What is the standard deviation of the time interval? d) What is the probability that the time interval between two consecutive defective light bulbs will be less than 10 minutes? e) What is the probability that the time interval between two consecutive defective light bulbs will be between 10 and 20 minutes? f) What is […]
