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At a suburban shopping mall 70% of customers pay by ecocash.Find the probability that in a randomly selected sample of ten customers : exactly 3 pay by ecocash and more than 6 pay by ecocash

europeans have a mean paid vacation each of six weeks. what is the null and alternative hypothesis of it

For what values of 𝑐 does the curve 𝑓(𝑥) = 2𝑥^3 + 𝑐𝑥^2 + 2𝑥 have maximum and minimum points?




Show that the minimum and maximum points of every curve in the family of polynomials


𝑓(𝑥) = 2𝑥^3 + 𝑐𝑥^2 + 2𝑥 lie on the curve 𝑦 = 𝑥 − 𝑥^3.




Show that the minimum and maximum points of every curve in the family of polynomials


𝑓(𝑥) = 2𝑥^3 + 𝑐𝑥^2 + 2𝑥 lie on the curve 𝑦 = 𝑥 − 𝑥^3

For what values of 𝑐 does the curve 𝑓(𝑥) = 2𝑥^3 + 𝑐𝑥^2 + 2𝑥 have maximum and minimum points?









Show that the minimum and maximum points of every curve in the family of polynomials







𝑓(𝑥) = 2𝑥^3 + 𝑐𝑥^2 + 2𝑥 lie on the curve 𝑦 = 𝑥 − 𝑥^3.














Suppose 𝑓 is differentiable on ℝ and has two roots. Show that 𝑓′ has at least one root.

Akosua works as the customer service officer at the Agarwal Eye Clinic located in Tesano, a suburb of




the Greater Accra region. The number of requests from male patients for emergency eye treatment that




she receives during any day may be modeled by a poisson distribution with mean of 2.6.Find the




probability that the number of requests from male patients for emergency eye treatment that Akosua




receives on a particular day is;




(i) Exactly 4




(ii)At least 1




(b) Find the probability that the number of requests from male patients for emergency eye




treatment that Akosua receives during a period of 5 days is 15 or fewer





. A new machine is being considered to replace the old machine being used. This new machine was tested for 10 consecutive hours with the following output: 119, 122, 118, 122, 120, 124, 126, 125, 125, and 124. If the average output per hour using the old machine is 120 units, is the management justified in stating that the output per hour can be increased with the new machine? Use a 0.01 level of significance.



An educational researcher found that the average entrance core of the incoming freshmen in a university is 84. A random sample of 24 students from a public school was then selected and found out that their average score in the entrance exam is 88 with a standard deviation of 16. Is there any evidence to show that the sample students from public school performed better than the rest in the entrance examination using the 0.01 level of significance?



A random sample of 100 recorded deaths in the United States during the past year showed an average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that the average life span today is greater than 70 years? Use a 0.05 level of significance. The computed value is


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