It has been found that the average time internet users spend online per week is 18.3 hours.
A random sample of 48 teenagers indicated that their mean amount of internet time per week was 20.9 hours with a population variance of 32.49. At the 0.02 level of significance, can it be concluded that the mean time differs from 18.3 hours per week?
Let X, Y, Z have joint probability distribution function
f(x , y , z) = { k(x^2+ yz), 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1
0, elsewhere
Find
(i) the value of k.
(ii) the conditional expectation of Z given X= x,Y= y
Use predicates, quantifiers, logical connectives, and mathematical operators to express the statement that there is a positive integer that is not the sum of three squares. The domain consists of all integers.
Is " Grade Point Average" discrete or continuous?
recent study by the American Accounting Association revealed among 30 graduates in accounting 20 students graduating with a major in accounting select public accounting. Suppose we select a sample of 15 recent graduates.What is the probability that exactly two select public accounting?
Use substitution rule to integrate
1.) Integral x³(x⁴+16)³dx
2.) Integral 3x²(x³+5)⁷dx
3.) Integral x³/√1-x⁴ dx
4.) Integral sin x/(cos x)³ dx
Deadline May 9 2022
Hope i will get full explanation to how you solve this, because i need the understandable, because i am absent in that class, thanks bro.
Prove that -x*-x =x^2
the editor of publishing company claims that the mean time to write a novel is 16 months.Forty randomly selected authors of novel said it is more than 16 months.Each of them said it take 18 months to write a novel.Provide the parameter,hopotheses and type of test
In a survey conducted among a random sample of students the following observations were made regarding their gender and learning environment preferences during the COVID-19 pandemic: 168 prefer online learning 202 prefer face to face learning 180 prefer blended learning 34 male students prefer online learning and 70 male students prefer blended learning 106 female students prefer face to face learning Required: a) What is the probability that a female student is chosen? b) What is the probability that a male student prefers face to face learning? c) What is the probability that a student prefers online or blended learning? d) If it’s known that the student is female, what is the probability that this student prefers online learning. e) Using a practical example, explain the difference between mutually exclusive events and independent events.
a cube with edge length of 10 cm is inscribed in a sphere, what is the diameter of the sphere?