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? O a. 0.4170 O b. NONE O c. 0.5830 O d. 0.0137

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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. 0.4170
O b. NONE
O c. 0.5830
d. 0.0137
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. 0.4170 O b. NONE O c. 0.5830 d. 0.0137
Walmark randomly draws 5 different gift vouchers to be given to selected loyal customers each
day. For today, they draw the $5 gift voucher. What is the expected number of days until this gift
voucher is again drawn? What is the probability that this gift voucher is again drawn exactly 5
days from now? Let X denote a geometric random variable. (Show solutions)
O a. E(X) = 10 days, P(X-5) = 0.0819
O b. NONE
c. E(X) = 5 days, P(X-5) = 0.0819
O d. E(X) = 5 days, P(X-5) = 0.0656
Transcribed Image Text:Walmark randomly draws 5 different gift vouchers to be given to selected loyal customers each day. For today, they draw the $5 gift voucher. What is the expected number of days until this gift voucher is again drawn? What is the probability that this gift voucher is again drawn exactly 5 days from now? Let X denote a geometric random variable. (Show solutions) O a. E(X) = 10 days, P(X-5) = 0.0819 O b. NONE c. E(X) = 5 days, P(X-5) = 0.0819 O d. E(X) = 5 days, P(X-5) = 0.0656
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