QUESTION 2 А. The table below shows the probability distribution of the likelihood of the number of SUVS in a household in Forest Hill, St Andrew. Number of 1 2 3 4 SUVS (x) P(X = x) 0.05 0.12 0.60 0.20 Find: i. The value of c' ( the probability of 4 SUVS in a household) ii. The expected value [E(X) ], the mean value of SUVS in a household iii. The variance

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В.
The Lincoln Hospital is one of the best in treating patients with TI virus. On average of
12 persons visit the hospital in any given week. The number of visits models a Poisson
distribution. As a Statistician, you are asked to complete a set of tasks to give the CEO in
a report.
i. What is the probability that EXACTLY 8 persons will visit the hospital in a given
week
ii. Calculate the probability that more than 3 persons will visit the hospital in a week
iii. Calculate the probability that at most 2 persons will visit the hospital in a given
fortnight (2 weeks)
Transcribed Image Text:В. The Lincoln Hospital is one of the best in treating patients with TI virus. On average of 12 persons visit the hospital in any given week. The number of visits models a Poisson distribution. As a Statistician, you are asked to complete a set of tasks to give the CEO in a report. i. What is the probability that EXACTLY 8 persons will visit the hospital in a given week ii. Calculate the probability that more than 3 persons will visit the hospital in a week iii. Calculate the probability that at most 2 persons will visit the hospital in a given fortnight (2 weeks)
МАТH1208
QUESTION 2
А.
The table below shows the probability distribution of the likelihood of the number of
SUVS in a household in Forest Hill, St Andrew.
Number of
2
3
SUVS (x)
P(X = x)
0.05
0.12
0.60
0.20
Find:
i. The value of 'c' ( the probability of 4 SUVS in a household)
ii. The expected value [E(X) ], the mean value of SUVS in a household
iii. The variance
iv. standard deviation of SUVS in a household
Transcribed Image Text:МАТH1208 QUESTION 2 А. The table below shows the probability distribution of the likelihood of the number of SUVS in a household in Forest Hill, St Andrew. Number of 2 3 SUVS (x) P(X = x) 0.05 0.12 0.60 0.20 Find: i. The value of 'c' ( the probability of 4 SUVS in a household) ii. The expected value [E(X) ], the mean value of SUVS in a household iii. The variance iv. standard deviation of SUVS in a household
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