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Q2. Temperatures of a particular patient admitted in ICU are taken at 30-minute intervals. The patient is declared 'stable' if a reading is in the closed interval [34.5°C, 38.5°C). Patient's records indicate that the chances of a reading being within this interval are 60%. (i) If within a particular time interval the first reading was taken at 6.00am and the last reading was taken at 9.00am of the same day, determine probability of having less than 2 readings at most 4 readings within the required interval. (ii) Determine the probability of having at least 8 but not exceeding 18 readings within the interval in a 12-hour period. Q3.Records of a certain Insurance firm show that domestic insurance premiums taken by clients are normally distributed. They further show that the chances of a client taking a premium of at least k sh50000 are 93.32% while the chances of at most ksh225000 are 97.5%. (i) Determine the mean $\mu$ and standard deviation $\sigma$ of the premiums taken by clients. (ii) Check whether the percentage of clients in a sample of 600 whose premiums do not exceed k sh147000 is 67%. Then I have this ..

          Q2. Temperatures of a particular patient admitted in ICU are taken at 30-minute intervals. The
patient is declared 'stable' if a reading is in the closed interval [34.5°C, 38.5°C). Patient's records
indicate that the chances of a reading being within this interval are 60%.
(i) If within a particular time interval the first reading was taken at 6.00am and the last reading
was taken at 9.00am of the same day, determine probability of having less than 2 readings
at most 4 readings within the required interval.
(ii) Determine the probability of having at least 8 but not exceeding 18 readings within the interval
in a 12-hour period.
Q3.Records of a certain Insurance firm show that domestic insurance premiums taken by clients are
normally distributed. They further show that the chances of a client taking a premium of at least
k sh50000 are 93.32% while the chances of at most ksh225000 are 97.5%.
(i) Determine the mean $\mu$ and standard deviation $\sigma$ of the premiums taken by clients.
(ii) Check whether the percentage of clients in a sample of 600 whose premiums do not exceed
k sh147000 is 67%.
Then I have this ..

Q2. Temperatures of a particular patient admitted in ICU are taken at 30-minute intervals. The
patient is declared 'stable' if a reading is in the closed interval [34.5°C, 38.5°C). Patient's records
indicate that the chances of a reading being within this interval are 60%.
(i) If within a particular time interval the first reading was taken at 6.00am and the last reading
was taken at 9.00am of the same day, determine probability of having less than 2 readings
at most 4 readings within the required interval.
(ii) Determine the probability of having at least 8 but not exceeding 18 readings within the interval
in a 12-hour period.
Q3.Records of a certain Insurance firm show that domestic insurance premiums taken by clients are
normally distributed. They further show that the chances of a client taking a premium of at least
k sh50000 are 93.32% while the chances of at most ksh225000 are 97.5%.
(i) Determine the mean μ and standard deviation σ of the premiums taken by clients.
(ii) Check whether the percentage of clients in a sample of 600 whose premiums do not exceed
k sh147000 is 67%.
Then I have this ..

Added by Marc B.

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