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According to a survey, 52% of males between the ages of 18 and 24 lived at home in 2005 (unmarried college students living in dorms are counted as living at home). A survey is administered at a community college to 19 randomly selected male students between the ages of 18 and 24 years, and 16 of them respond that they live at home.
(a) Based on the sample of 19 students, what proportion of community college males live at home?
(b) Find the probability that 16 or more out of 19 community college male students live at home, assuming that the proportion who live at home is 52%.
(c) What might you conclude from this result?
(a) Based on the sample of 19 students, what proportion of community college males live at home?
(b) Find the probability that 16 or more out of 19 community college male students live at home, assuming that the proportion who live at home is 52%.
(c) What might you conclude from this result?
Solve the equation z^4=-2\sqrt{3}-2i Sketch the solution in the complex plane.
When a newspaper or magazine article reports the results of a study and draws a conclusion without also reporting whether the results are statistically significant, what are the possible reasons for doing so? How seriously should you take the conclusion offered in such a study?
(a) Let H(t) be the total weight of all the lobsters, in kg, after t months.
Find a formula for H(t), expressing it in simplest form, Since the number of lobsters in the tank in months is expresses as N(t)= 6000/(t^2+25) and the mean weight of lobsters in months is expressed as W(t)=1.5ln(t/4+1)
(b) draw this function and find its first derivative, H'(t),
(c) Consider the graph of H'(t). By choosing a suitable option, determine the rate at which the total weight of all the lobsters is changing after 2 months and after 10 months. Explain the meaning of your answers with reference to their magnitude and sign.
Find a formula for H(t), expressing it in simplest form, Since the number of lobsters in the tank in months is expresses as N(t)= 6000/(t^2+25) and the mean weight of lobsters in months is expressed as W(t)=1.5ln(t/4+1)
(b) draw this function and find its first derivative, H'(t),
(c) Consider the graph of H'(t). By choosing a suitable option, determine the rate at which the total weight of all the lobsters is changing after 2 months and after 10 months. Explain the meaning of your answers with reference to their magnitude and sign.
The Taylor series 0 for the function f(x)=1/(1-x) is 1+x+x^2+x^3+x^4+x^5+.......Use this to find the Taylor series for 1(1-x^3),giving fhe first 3 non-zero terms.
Consider the following case: Buses arrive at a particular bus stop after every 15 minutes, starting from 6AM. If a passenger arrives at the stop at a random time which is uniformly distributed between 9 am to 9.30 am, then find the probability that he waits for (a) less than 5 minutes for a bus (b) atleast 10 minutes for a bus
sketch the graph of y=sinxcosx for -2pi<x<2pi
how many integers between 1 and 99 inclusive are divisible by either 2 or 3 or both
out of 50 students 30 are studying BASIC 23 are studying PASCAL and 10 both how many students study either language
prove that 1^2+2^2+3^2+-----n^2=n(n+1)(2n+1) for all positive integers
