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1. A box contains 5 green, 6 red, 2 yellow, and 8 blue marbles. Four marbles are drawn from the box at the same time.
a) what is the probability that none of the marbles are green?
b) what is the probability that you get one marble of each color?
c) what is the probability that all four marbles are the same color?
2. A bagel shop offers 21 varieties of bagels, 37 flavors of cream cheese, and 31 flavors of coffee. How many different orders for a bagel, cream cheese, and a coffee can a customer place?
Of 900 consumers surveyed, 414 said they were very enthusiastic about a new home decor scheme. What is the 99% confidence interval for the population proportion?
Use a t test to test the claim about the population mean u at the given level of signifiance a using the given sample statistics. For each claim, assume the population is normally distributed.
Coke cans: n=36, mean of values in sample = 12.19 oz., s= 0.11 oz. Test the claim that the mean equals 12 oz. Use a significance level of alpha = 0.02.
In a survey of the 3000 boy scouts in the National Capital Area Council (NCAC), it is found that they have a mean weight of 135 lbs with a standard deviation of 15 lbs. How many of the boy scouts have weights between 120 lbs and 150 lbs.?
The direction of the pigeons" loft is 149 degrees from their release point. Do the pigeons, on average, fly directly to the loft?
A basketball player has made 66% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his 6th attempt?
a population has a mean of 300 and a standard deviation of 24. a simple random sample of 144 observations will be
Assess the model fit for the multiple linear regression model using appropriate statistics and graphics.
Develop a 95% confidence interval for the mean amount of household income for sub- scribers to Young Professional magazine. Interpret this interval.
Is there sufficient evidence to conclude that a significant amount of improvement took place? Calculate the mean and standard deviation. Determine which test statistic applies, and calculate it.
The probability that an American CEO can transact business in a foreign language is 0.2. Ten American CEO's are chosen at random. b) what is the probability that at least two can transact business in a foreign language?
The mean number of cups was 5 with a standard deviation of 1.5 cups. The distribution was normal. What proportion of students drank 7 or more cups of coffee per day?
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