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European roulette. The game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money.
(a) Suppose you play roulette and bet $3 on a single round. What is the expected value and standard deviation of your total winnings?
(b) Suppose you bet $1 in three different rounds. What is the expected value and standard deviation of your total winnings?
(c) How do your answers to parts (a) and (b) compare? What does this say about the riskiness of the two games?
A sample of 8 jars has a mean of 15.6 ounces and a standard deviation of 0.3 ounce. Is there enough evidence to support the consumer's conjecture at a = 0.05? First, identify the alternative and the null hypotheses.
Compute the difference in traffic counts on the 6th and the 13th. Can you conclude that people tend to stay home more on Friday the 13th?
The results of the ANOVA carried out were summarized as F(2, 101) = 3.61. Analyze this result and state a conclusion about this study.
Suppose these data represent whole population. Determine the population mean and population standard deviation.
The length of stay in the hospital for Ebola patients varies. Ten percent are in for 12 days. Twenty percent are in for 14 days.
For each of the given measures, give the value that implies no difference between the two groups being compared.
in a sample of children given a new flu vaccine a large number of the children develop a neurological disease. parents
1. given the following probabilities compute all joint probabilities to 2 decimals.pa .9pac .1pbnbspnbspa
Consider taking a random sample X1 , . . . , Xn from a normal with mean µ and variance sigma^2.
First explore the data using suitable statistics and graphs. Use the results to make informal comparisons. Determine whether there are significant differences between the ages of the Best Actresses and the ages of the Best Actors
Marentette and El-Masri (2011) used logistic regression to identify predictors of obtaining seasonal influenza vaccination among hospital-based nurses in Canada. Their results are shown in table 1:
Find the sample size required. A pilot study showed that the population standard deviation is estimated to be 0.09 g
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