A proton emitter produces proton beams with changing kinetic energy that is uniformly distributed between three and eight joules. Suppose that it is possible to adjust the upper limit of the kinetic energy (currently set to eight joules). What is the mean kinetic energy? What is the variance of the kinetic energy? What is the probability that a proton beam has a kinetic energy of exactly 3.5 joules? a. E(X) = 5.5, V(X) = 2.0833, probability is zero (0) because X has a uniform distribution b. E(X) = 5.5, V(X) = 2.0833, probability is zero (0) because X has a continuous distribution c. E(X) = 5, V(X) = 1.33, probability is zero (0) because X has a uniform distribution

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CONTINUOUS RANDOM VARIABLE

 

A proton emitter produces proton beams with changing kinetic energy that is uniformly
distributed between three and eight joules. Suppose that it is possible to adjust the upper limit of
the kinetic energy (currently set to eight joules).
What is the mean kinetic energy?
What is the variance of the kinetic energy?
What is the probability that a proton beam has a kinetic energy of exactly 3.5 joules?
a. E(X) = 5.5, V(X) = 2.0833, probability is zero (0) because X has a uniform distribution
O b. E(X) = 5.5, V(X) = 2.0833, probability is zero (0) because X has a continuous distribution
c. E(X) = 5, V(X) = 1.33, probability is zero (0) because X has a uniform distribution
O d. NONE
Transcribed Image Text:A proton emitter produces proton beams with changing kinetic energy that is uniformly distributed between three and eight joules. Suppose that it is possible to adjust the upper limit of the kinetic energy (currently set to eight joules). What is the mean kinetic energy? What is the variance of the kinetic energy? What is the probability that a proton beam has a kinetic energy of exactly 3.5 joules? a. E(X) = 5.5, V(X) = 2.0833, probability is zero (0) because X has a uniform distribution O b. E(X) = 5.5, V(X) = 2.0833, probability is zero (0) because X has a continuous distribution c. E(X) = 5, V(X) = 1.33, probability is zero (0) because X has a uniform distribution O d. NONE
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