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A 4-letter code is to be formed using only letters of the alphabet, according to the following rules. (Note: There are 26 letters in the alphabet.)
Rule 1: If the code starts with a vowel (i.e., any of a, e, i, o or u), then it must end in y. (For instance, the code abcy could be formed.)
Rule 2: If the code does not start with a vowel, then there must be 2 consecutive positions in the code which contain the same vowel. (For instance, both baal and blaa are acceptable codes.)
There are no other restrictions. How many di?erent codes can be formed?
Determine a 95% confidence interval for the true mean weight of such boxes?
What is the probability that the equipment will undergo maintenance if it is performing satisfactorily? what is the probability that the equipment will not undergo maintenance if it is not performing satisfactorily?
A sample of 3000 observations has a mean of 82 and a standard deviation of 16. Using the empirical rule, find what percentage of the observations fall in the intervals , and x+/- 1s, x+/- 2s x+/- 3s.
What was the probability that a student worked a part time job or made the Dean's list. Interpret the results.
How are the degrees of freedom computed for the independence test? Generally, how would the null and alternative hypotheses be stated for the chi-square independence test?
which of the follow samples will have the smallest value for estimated standard error?n 100 with s2nbsp 100n 25 with
Debate if "failing to reject the null" is the same as "accepting the null." Support your position with examples of acceptance or rejection of the null. Next, give your opinion on whether or not a failed t test "proves" the null hypothesis
In testing for the equality of two population variances, when the populations are normally distributed, the10% level of significance has been used. To determine the rejection region, it will be necessary to refer tothe F table corresponding to an upp..
Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.)
A random sample of 40 part time workers has a mean annual earnings of $3120 and a population standard deviation of $677. Compute the 95% confidence interval for the mean.
the amount of distilled water dispensed by a certain machine is normally distributed with mean value 64oz and standard
You have another $9,000 to invest and want to divide it between an asset with a beta of 1.74 and a risk-free asset. How much should you invest in the risk-free asset?
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