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A jar contains 9 red marbles numbered 1 to 9 and 3 blue marbles numbered 1 to 3. A marble is drawn at random from the jar. Find the probability that the marble is red or even-numbered?


Β A sample of 100 recorded deaths in the United States during the past year showed an averageΒ life span of 71.8 years. Assuming a population standard deviation of 8.9 years,

does this seem to indicate that the average life span today is greater than 70 years? Use a level of significance:

a. 1%

b. 5%

c. 10%

Β 


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

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 requestsmale patients for emergency eye treatment that Akosua receives on a particular day is; i) ( 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 (c) The number of requests from female patients for eye treatment that Akosua receives during any day is independent of the number of such requests from the male patients and may be modeled again by a poisson distribution with mean of 3.4. The Agarwal Eye Clinic can provide


For what values of 𝑐 does the curve 𝑓(π‘₯) = 2π‘₯^3 + 𝑐π‘₯^2 + 2π‘₯ have maximum and minimum points?




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


𝑓(π‘₯) = 2π‘₯^3 + 𝑐π‘₯^2 + 2π‘₯ lie on the curve 𝑦 = π‘₯ βˆ’ π‘₯^3.




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


𝑓(π‘₯) = 2π‘₯^3 + 𝑐π‘₯^2 + 2π‘₯ lie on the curve 𝑦 = π‘₯ βˆ’ π‘₯^3

For what values of 𝑐 does the curve 𝑓(π‘₯) = 2π‘₯^3 + 𝑐π‘₯^2 + 2π‘₯ have maximum and minimum points?









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







𝑓(π‘₯) = 2π‘₯^3 + 𝑐π‘₯^2 + 2π‘₯ lie on the curve 𝑦 = π‘₯ βˆ’ π‘₯^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





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