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Let X denote the proportion 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 0 =<x <=}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.
An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day.
It is asserted that a greater proportion of males (= x 1 ) contribute to charity than females (= x 2 ). A survey of male and female contributors to charity showed that of 900 males surveyed
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 70%.
At a college, 70 percent of the students are women and 35 percent of students receive grade of C. About 20 percent of students are neither female nor C students. Use this contingency table.
A survey of the number of calls received by a sample of Southern Phone Company subscribers last week revealed the following information.
The media often attempts to predict the outcome of national elections. Why are they often wrong? Based on the concepts presented in this module's readings, how could the system be improved?
Define the variable - the weight in pounds - it is a dependent variable. Find the mean, median, mode, variance, and standard deviation for your data.
Her mean waiting time was 7.4 minutes. Assume that the standard deviation has been historically known to be 2.2 minutes. At the .05 significance level, test the claim that the mean waiting time is less than 10 minutes.
A bag contains 5 blue balls and 8 purple balls. If 3 balls are chosen randomly and without replacement, form the bag. Let x be the number of blue balls obtained. Then x has a distribution.
Suppose that the population follows the normal distribution. Forty trucks are randomly selected and weighed. Within what limits will 95 percent of the sample means occur?
Each of the given z-scores, draw the normal distribution and sketch the vertical line at location of z-score, then find out whether body is to right or the left of line and determine the proportion in the body.
Find the Celsius temperature(to the nearest degree when Fahrenheit temperature is 9 degrees by solving the equation 59= 9/5 C +32, where F is the Fahrenheit temperature (in degrees and C is the Celsius temperature.
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