(a) On average, a clinic receives eight patients in 20 minutes. Assume that the number of patients received follows the Poisson distribution. Find the probability of patient received between 10 am and 10.10 am.

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(a)
On average, a clinic receives eight patients in 20 minutes. Assume that the
number of patients received follows the Poisson distribution.
Find the probability of patient received between 10 am and 10.10 am.
(b)
Given that the probability of certain type of medicine that can cure certain illness
is 0.85.
Compute the probability that exactly four out of six patients cured after
consuming the medicine.
(c)
The daily wages of worker in an construction firm are normally distributed with
a mean of RM50 and a standard deviation of RM10.
Find the value of p if 72% of the workers earn daily wages of more than RM P.
Transcribed Image Text:(a) On average, a clinic receives eight patients in 20 minutes. Assume that the number of patients received follows the Poisson distribution. Find the probability of patient received between 10 am and 10.10 am. (b) Given that the probability of certain type of medicine that can cure certain illness is 0.85. Compute the probability that exactly four out of six patients cured after consuming the medicine. (c) The daily wages of worker in an construction firm are normally distributed with a mean of RM50 and a standard deviation of RM10. Find the value of p if 72% of the workers earn daily wages of more than RM P.
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