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In bridge, 52 cards are partitioned into 4 equal parts. What is the probability that each player has an ace? 4. What is the probability that a hand in bridge (13 cards) consists of 5 spades, 4 hear
What are examples of variables that follow a Binomial Probability Distribution? What are examples of variables that follow a Poisson Distribution?
A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed.
Note that if only a single batch of pulp was produced under each preparation method and split into 12 sub-batches for the cooking factor, this would be an example of pseudo-replication. Why?
Are these fish randomly selected from the entire population of fish of each species and sex? Or is the sample a convenience sample - i.e., the fish closest to the research station that are easiest t
Then flied at 800 km/hr to the base in 300 km. Find the average speed of the sortie by using the Harmonic Mean. Also find the mission time.
In practice, plot yi vs. xi from the sample and see what type of relation exists. When can a ratio estimator be used?
with a margin of error of $121, confidence level of 95%, standard deviation $528 what is the minimum sample size require to estimate an unknown population?
In the context of such a survey about cheating, explain the difference between non-response bias and response bias.
In a study of the relationship between handspan (in centemeters) and height (in inches) it was found that the correlation is about .80 and the regression equation is handspan = 3 + 0.35 height What
Conduct a test of hypothesis to determine whether the coefficient of correlation in the population is zero. Construct and interpret confidence intervals and prediction intervals for the dependent v
Based on the 2000 Census, 31.8% of grandparents in California are the primary caregivers for their grandchildren. Suppose n = 1000 persons are to be sampled from this population and the sample propo
Assume that these distributions are distributed as normal random variables with the means and standard deviations given previously. Find the probability that the return for common stocks will be grea
Suppose this coin is flipped four times. Using the binomial formula, find the probability of getting exactly two heads. Example: A fair, six-sided die is rolled 3 times.
Define the experiment and describe one sample point. Assume that you need to describe only the two jurors chosen and not the order in which they were selected.
What is the probability that in the next 10 years, there wont be any major earth quake in that island? What are the expected number of years without major earth quakes?
Find the expected value of the following game. If I were to invited you to play a game where I would pay you your score in dollars, what should I charge you to play?
The lowest 6.3% of the students are required to retake the exam before the end of the school year. If a random student is chosen what is the probability that he or she scores less than 59? What scor
List the sample space in S and determine the number simple events. What is the probability that the sum of the numbers shown on the upper faces is equal to 7?
Suppose that a male offspring has a 50% chance of inheriting a particular disease, but a female offspring has no chance of inheriting the disease. Further suppose that 51.3% of births are male. Wha
Then a one-sided t-test is performed at a 5% significance level to determine whether the average service time appears significantly longer than 90 seconds. What is the actual average service time? W
The mean numbers of trials to learn maze for the group with the colrful wallpaper is 11. What is the standard deviation of the distribution of means?
Compute the incidence of stroke in persons over 55 years of age. Compute the relative risk of stroke comparing hypertensive to non-hypertensive persons
Notice that the random variable Y is the number of successes observed in the n trials. Here, success is merely a name for one of the two possible outcomes on a single trial of an experiment. Before
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?