Table 3 4 5 0.197 0.2 0.173 P(X =x) 0.21 0.22
The world is currently being adversely affected by the COFLU-20 pandemic. Persons are required to take certain measures to prevent the spread of this virus; however, persons’ knowledge, attitudes and practices towards COFLU-20 may influence their adherence to these measures.
A researcher decided to evaluate the knowledge, attitudes and practices towards COFLU-20 of adults living in the English-speaking Caribbean. To gather the data, the researcher developed an online survey consisting of four (4) sections. Section A gathered demographic data on the respondents including their gender, marital status, highest level of education attained, occupation and country of residence. Section B consisted of 15 questions that gathered data on the respondents’ knowledge of COFLU-20. Section C consisted of 10 questions that gathered data on the respondents’ attitudes towards COFLU-20. The final section, Section D, consisted of 5 questions
that gathered information on the respondents’ practices against COFLU-20.
In order to recruit respondents for this survey, the researcher sent a link to the online survey to persons in his network via email and social media. After receiving 300 responses, the researcher closed down the online survey and deactivated the link to the survey.
You are a student pursuing an introductory Statistics course. The researcher has asked that you assist him in summarizing, analyzing and interpreting the information gathered, by answering the questions below.
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
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.
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).
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