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Suppose X is a Gaussian random variable with mean Suppose we form a new random variable according to Y= aX +b for constants a and b .
(a) Prove that Y is also Gaussian for any a ≠ 0 .
(b) What values for the constants a and b will lead to the new random variable Y having zero mean and unit variance?
(c) What values for the constants a and b will lead to the new random variable Y having a mean of
Among a group of 165 students 8 are taking calculus, discrete structures, and computer science; 33 are taking calculus and computer science; 20 are taking calculus and discrete structures; 24 are taking discrete structures and computer science;
Do the actual numbers of goals per game follow this distribution? You might want to take several weeks' results toobtain more reliable results.
How would one determine which combination of variables is the best (with statistical significance)? If that's not possible, can we show that one combination is statistically significantly worse than the others? What method would be used?
based on an examination given to a large class in which the maximum score is 100 points assume that 20 grades taken at
there is a certain disease in america which is very rare. the probability of a person having the disease is 1 in
Using a 5% level of significance, is there any difference in proportion of guests who would select the two resorts? What is your conclusion?
Using a normal quantile plot, determine whether these data might be a sample from a normally distributed population. On the basis of the skewness and kurtosis of this sample, how large a sample does the CLT condi- tion require in order to rely on a ..
Suppose each client has a 1% chance of achieving perfect attendance during any given year independent of any other client. Determine the maximum value of q such that there is a less than 1% chance that the $1,000 fund will be inadequate to cover a..
the percentage of alcohol in a certain compound may be considered as a random variable x with the following pdffx x
a person leaves for work between 8 am and 8.30 am and takes between 40 and 50 minutes to get there. let the random
Trophies are awarded to the two persons receiving the highest and second-highest number of votes. In how many different ways can the trophies be awarded?
A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6. Construct a 95% confidence interval for the mean score of all bowlers
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