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An insurance company states that 90% of its claims are settled within 5 weeks. A consumer group selected a random sample of 100 of the company's claims and found 75 of the claims were settled within 5 weeks. Is there enough evidence to support the consumer group's claim that fewer than 90% of the claims were settled within 5 weeks? Test using the traditional approach with alpha = 0.05
Of the 500 students who responded to a survey about recycling on campus, 350 said they recycle on a regular basis. The sample proportion is ??
You are given an annual time series with 40 consecutive values and asked to fit a fifth-order autoregressive model.
Two fair six-sided dice are tossed independently. Let X be value of first die, and Y value of second. Find out the expectations of following random variables.
The Skateworld Company operates ice rinks in several major cities throughout the United States. During each session of open skating, one customer is selected at random to receive a free pass for a future open skating session.
A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria of hypertension. if 15 adults are assessed, what is the probabiliy that?
The rest have no opinion. " Suppose that a a sample of 100 American adults is quizzed on the subject. What is the probability of the following events?
The random variable x is known to be uniformly distributed between 1.0 and 1.5.
Suppose Napoleon were using Bayes' theorm to revise his information. To do so, he would have had to make some judgements about P(Prussian and English Join forces |Napoleon Wins) and P(Prussian and English Join forces |Napoleon loses).
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat.
An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day.
The 30 members of an orchestra were asked how many instruments each could play. The results are set out in the frequency distribution. Calculate the mean number of instruments played:
Individual loss amounts (ground up) this year follow an inverse Weibull distribution with τ= 3 and expected value 1000. Next year you con?fidently expect loss amounts to in?ate by 10% uniformly across the board.
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