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A pair of fair, six-sided dice are tossed independently of each other.
a) List the sample space of this experiment.
b) Define a random variable X to be the sum of the dice. Write down the probability mass function of X.
c) What is the probability that X is at most 4?
d) Given that X is at least 6, what is the probability that it is less than 10?
e) Define another random variable Y to be the maximum value of either die in the pair. Write down the probability mass function of Y.
f) Find the probability that Y is odd.
g) Find the expected value of Y. h) Find Var(-1.2Y + 4)
A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink.
A statistics professor plans classes so carefully that the lenths of her class are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs less than 51.5.
a sample of 36 patients in a doctors office showed that they had to wait an average of 45 minutes with a standard
a bag contains 10 red 12 green and 8 yellow marbles. assuming that all the marbles are equally likely to be picked from
describe a run chart and give an example. refer to the values on each of the axes as you describe the run
What is the probability that a call lasted between 180 and 300 seconds? What is the length of a call if only 1% of all calls are shorter?
among coffee drinkers men drink of 3.2 cups per day with a standard deviation of 0.8 cups. assume the number of coffee
Populate the selected graph/frequency chart with fictitious data. Did your selected graph/frequency chart effectively portray the data?
Please note the following definitions: The prevalence of a disease is the proportion of individuals in a population or subpopulation who have a disease.
1. other things being equal as the sample size increases the standard error of a statistica. increasesb.
I am conducting research on microscopic toolmark analysis. If I have a toolmark with 27 striations (lines) of varying spatial relationships (orientations),
for the final days before the election the campaign manager has a total of 34000 to spend on tv and radio campaign
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