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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)
Assume you want to repeat the FDA experiment to achieve an estimation of the mean μ of the amount of caffeine content of a cup of coffee.
suppose that a point x y is to be chosen at random in the xy-plane where x and y are independent random variables and
The first step in this assignment is to provide SPSS with the Value Labels for the values in LOCALE97.
What is the 99% confidence interval?
Among 100 people randomly chosen in a survey, exactly 10 stated that they believed that the elected representatives are honest most of the time.
In a large section of statistics class, the points for the final exams are normally distributed with a mean of 72 and a standard deviation of 9. Find the lowest score on the final exam that would qualify a student for an (A, B, C, D)
a container contains 15 diesel engines. the company chooses 12 engines at random and will not ship the container if any
Determine critical path and project completion time. Determine the probability that the project will be finished in 70 days or less. Determine the probability that the project will be finished in 80 days or less
the size of fish in a lake follows a normal distribution with mean m 1 lb 4 oz and standard deviation s 3 oz . fish
a computer manufacturer is introducing a new product specifically targeted at the home market and wishes to compare the
assume that the heights of bookcases are normally distributed. a random sample of 16 bookcases in one company have a
(a) Give a 95% confidence interval for the proportion p of children with asthma, in the general population of children who were exposed to parac-etamol in early life and have a family history of allergic disease.
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