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Let X denote th roportion of allotted time that a randomly selected student spends working on a particular aptitude test, and suppose the probability density fuction, p(x) of X is: {f(x)= (theta + 1)x^theta when x is greater than or equal to zero and less than or equal to 1} and {f(x)= 0 otherwise where -1 < theta.
a. find and graph the cumlative distribution function, F(x)= P(X is less than or equal to x)of X.
B. Find the probability that a randomly selected student spends at least three quarters of the allotted time on the test.
c.Find the probability that a randomly selected student spends between eighty and ninety percent of the time on the test.
d. Find the expected value of X. E(X)
E. Find the reliability function, R(t)=P(X > t)
f. Find the failure rate of X.
Create a histogram showing the distribution of symptom scores in this sample. Is this a skewed distribution? If so, is it skewed to the left or to the right?
Can you show me an example of this? I am a nurse, can you show me an example from the health care field to help me to understand this?
A business finds the average cost required to complete a project is $416 with a standard deviation of $57. A sample of 36 project cost reports was selected at random.
Salary information for a random sample of male and female employees of a large company is shown below.
Test whether the gender distribution for basketball fans is significant different from general college by proportion test.
If the restaurant stocks 400 hamburgers and 150 chicken sandwiches for a given day, what is the probability that it will run out of hamburgers or chicken sandwiches (or both) that day? Assume that the demand for hamburgers and the demand for chick..
She predicts correctly on 16 tosses. What is the probability of being correct 16 or more times by guessing? Does this probability seem to verify her claim?
The following is a case-control study: Obtaining histories and other information from a group of known cases and from a comparison group to determine the relative frequency of a characteristic or exposure under study.
Quaker Oats is contemplating changing the shape of its box from the quaint cylinder presently in use. Different random samples were selected from five stores of similar size in the same region
A coin tossed 100 times and 530 heads appear. At a=0.05, test the claim that this is a non biased coin. Use a P-Value. does this suggest the coin is fair?
College is 0.74. A random sample of 280 high school seniors is surveyed. Describe the distribution of the number of students in the sample of 289 that will not attend college.
A small home-based company produces both hand-painted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours.
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