A sample of radioactive Thorium emits alpha particles at a rate of 1.5 particles per minute. a) What is the expected average number of alpha particles emitted in 40s? b) What is the probability that 5 particles are emitted in 40s? c) We now divide the interval T=40 in two subintervals. Given ν1 and ν2 the number of particles emitted respectively in the two periods of time T1=30s and T2=10s, what are the following probabilities that νiνi particles are detected in the first and second time intervals? P(ν1=0,ν2=5)= P(ν1=1,ν2=4)= P(ν1=2,ν2=3)= P(ν1=3,ν2=2)= P(ν1=4,ν2=1)= P(ν1=5,ν2=0)=

A sample of radioactive Thorium emits alpha particles at a rate of 1.5 particles per minute. a) What is the expected average number of alpha particles emitted in 40s? b) What is the probability that 5 particles are emitted in 40s? c) We now divide the interval T=40 in two subintervals. Given ν1 and ν2 the number of particles emitted respectively in the two periods of time T1=30s and T2=10s, what are the following probabilities that νiνi particles are detected in the first and second time intervals? P(ν1=0,ν2=5)= P(ν1=1,ν2=4)= P(ν1=2,ν2=3)= P(ν1=3,ν2=2)= P(ν1=4,ν2=1)= P(ν1=5,ν2=0)=

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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