a) A pair of dice is tossed. What is the probability that at most one 6 appears.
ID: 3056919 • Letter: A
Question
a) A pair of dice is tossed. What is the probability that at most one 6 appears. b) the number of phone calls has a paisson distribution with mean 4 per hour. What is the probability that more than 2 calls arrive within a given hour? a) A pair of dice is tossed. What is the probability that at most one 6 appears. b) the number of phone calls has a paisson distribution with mean 4 per hour. What is the probability that more than 2 calls arrive within a given hour? b) the number of phone calls has a paisson distribution with mean 4 per hour. What is the probability that more than 2 calls arrive within a given hour?Explanation / Answer
a) probability that at most one 6 appears =1-P(both dice shows a 6) =1-(1/6)*(1/6)=1-1/36 =35/36
b)
from poisson distribution probability that more than 2 calls arrive within a given hour =P(X>2) =1-P(X<=2)
=1-(P(X=0)+P(X=1)+P(X=2)) =1-(e-440/0!+e-441/1!+e-442/2!) =1-(0.0183+0.0733+0.1465)=0.7619
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