To examine practices towards COFLU-20, the researcher examined the relevant responses from the survey and assigned scores of 1 (below required standard), 2 (poor standards), 3 (satisfactory standards), 4 (meets required standards) and 5 (exceeds required standard) to each respondent. Using X to represent the score for practices against COFLU-20, the probability distribution of X is shown in Table 3 below. Table 3 x 1 2 3 4 5 P(X = x) 0.21 0.197 0.2 0.173 0.22 The researcher is interested in using the information in Table 3 to determine the probability that, from a sample of 10 randomly selected adults, exactly 3 of them exceeds the required standard for practices towards COFLU-20. (a) Assist the researcher by: (i) carefully defining the random variable of interest (ii) identifying a suitable probability distribution to be used to find the probability that exactly three (3) adults, out of 10, exceeds the required standard for practices towards COFLU-20. State the value(s) of the parameter(s) for this distribution. (iii) justifying the suitability of the probability distribution identified in part (ii). (iv) calculating the probability that exactly 3 adults, out of 10, exceeds the required standard for practices against COFLU-20 (b) Individual scores for practices towards COFLU-20 are found to be normally distributed with a mean of 3 and a standard deviation of 1.5 over the entire population. The Ministry of Health wishes to use this information to identify individuals whose score on practices towards COFLU20 is in the lower 75%, in order to give them relevant information on the best practices towards COFLU-20. You are asked to assist in calculating the score that the Ministry of Health should use to decide whether an individual should be given the relevant information?
To examine practices towards COFLU-20, the researcher examined the relevant responses from the survey and assigned scores of 1 (below required standard), 2 (poor standards), 3 (satisfactory standards), 4 (meets required standards) and 5 (exceeds required standard) to each respondent. Using X to represent the score for practices against COFLU-20, the probability distribution of X is shown in Table 3 below.
Table 3
|
x |
1 |
2 |
3 |
4 |
5 |
|
P(X = x) |
0.21 |
0.197 |
0.2 |
0.173 |
0.22 |
The researcher is interested in using the information in Table 3 to determine the probability that, from a sample of 10 randomly selected adults, exactly 3 of them exceeds the required standard for practices towards COFLU-20.
(a) Assist the researcher by:
(i) carefully defining the random variable of interest
(ii) identifying a suitable probability distribution to be used to find the probability that exactly three (3) adults, out of 10, exceeds the required standard for practices towards COFLU-20. State the value(s) of the parameter(s) for this distribution.
(iii) justifying the suitability of the probability distribution identified in part (ii).
(iv) calculating the probability that exactly 3 adults, out of 10, exceeds the required standard for practices against COFLU-20
(b) Individual scores for practices towards COFLU-20 are found to be
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