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Lily estimates that her time to fall asleep each night is approximately exponentially distributed. It takes her an average of 30 minutes to fall asleep.
a) Write out fx(x) and Fx(x) for X, the number of minutes it takes Lily to fall asleep.
b) What is the probability that it takes her less than 10 minutes to fall asleep?
c) What is the probability that it takes her more than an hour to fall asleep?
d) If she has already lain awake for 1 hour, what is the probability that it will take her more than 90 minutes to fall asleep?
e) Lily went to bed at 9:45 pm. At 11:00 pm, her husband found her asleep in bed. Knowing this, what is the probability that she fell asleep before 10:30 pm?
The results of a recent study regarding smoking and three types of illness are shown below. The illnesses are Emphysema, Heart Problem, and Cancer.
sketch a venn diagram of these eventsberkeley and chelsea visited independently of one another.berkeley visited with
Determine the 90% confidence interval estimate for the median number of hours of television watched per week by shut-ins.
Compute the pdf of continuous random variable Z where Z = X + Y and X is a continuous random variable uniformly distributed on [0, 2] and Y is a continuous random variable uniformly distributed on [0, 4]. Assume that X and Y are independent.
Identify the sample and population. Also, determine whether the sample is likely to be representative of the population.
Critique the HR manager's planned approach and give him advice on how to proceed. You can assume that a reasonable estimate for the proportion of new hires that are happy with the company is .8.
The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in February are, respectively, 0.19, 0.38, 0.29, and 0.15.
question a researcher is interested in comparing the christian maturity level of students who volunteer for community
Explain how the marketing analyst can use independent samples to collect the data.
Emma's On-the-Go, a large convenience store, has to decide where in the store to put its magazine rack. The manager at Emma's experiments with a selection of different locations, choosing a sample of days at each location.
a particular investment fund is comprised of more than 1000 companies world-wide that are considered to be socially
find the range standard deviation and variance for the following sample data2 11 81 29 22 59 78 71 21 43 99 12 38 74 56
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