What is the probability that in every two hours the nurses cannot accommodate the arriving patients?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Covid-19 ward nurses worry about the number of arriving patients in their ward. In a typical
hospital, the nurses cannot accept arriving patients if there are more than 10 Covid-19 cases in a
given hour. It is assumed that patient's arrival follows a Poisson process, and historical data
suggest that, on the average, 5 cases arrive per hour.
What is the probability that in every two hours the nurses cannot accommodate the arriving
patients?
a. NONE
O b.0.0137
O. 0.4170
d. 0.5830
Transcribed Image Text:Covid-19 ward nurses worry about the number of arriving patients in their ward. In a typical hospital, the nurses cannot accept arriving patients if there are more than 10 Covid-19 cases in a given hour. It is assumed that patient's arrival follows a Poisson process, and historical data suggest that, on the average, 5 cases arrive per hour. What is the probability that in every two hours the nurses cannot accommodate the arriving patients? a. NONE O b.0.0137 O. 0.4170 d. 0.5830
A state runs a lottery in which five numbers are randomly selected from 30 without replacement.
A player chooses five numbers before the state's sample is selected. What is the probability that
the five numbers chosen by a player match all five numbers in the state's sample?
Let X denote the count of the numbers in the state's sample that match those in the player's
sample. Then, X has a hypergeometric distribution. (Show solutions)
O a. 2.61 x 10-7
b. 0.3728
O C. 7.0172 x 10-6
O d. NONE
Transcribed Image Text:A state runs a lottery in which five numbers are randomly selected from 30 without replacement. A player chooses five numbers before the state's sample is selected. What is the probability that the five numbers chosen by a player match all five numbers in the state's sample? Let X denote the count of the numbers in the state's sample that match those in the player's sample. Then, X has a hypergeometric distribution. (Show solutions) O a. 2.61 x 10-7 b. 0.3728 O C. 7.0172 x 10-6 O d. NONE
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