Reminders Remphones must be off during the class and test per priods. They canmo
ID: 3318145 • Letter: R
Question
Reminders Remphones must be off during the class and test per priods. They canmot be waed for amy purpose auring these periods Prairie View A&M; University is dedicated high s faculty and students. In becomin community, students are responsible for honesty and indep engages will be taken against any student who alone or with others fraud or deceit periodss the class and test gpar to a high standard of academic integrity among its of the Prairie View A&M; Universiry academic . Prairie View and independent effort. Disciplinary action in any act of academic successive paw randomly seeed olers its policyholders a number of different ber of months the num ive distribution function (edf) of X is as follows: 0 xExplanation / Answer
Question 1:
a) From the given CDF for X, the density function for X here is derived as:
P(X =1) = 0.3,
P(X = 3) = 0.4 - 0.3 = 0.1,
P(X = 4) = 0.45 - 0.4 = 0.05,
P(X = 6) = 0.6 - 0.45 = 0.15,
P(X = 12) = 1 - 0.6 = 0.4
Therefore the expected value of X here is computed as:
E(X) = 1*0.3 + 3*0.1 + 4*0.05 + 6*0.15 + 12*0.4 = 6.5
Therefore 6.5 is the expected value of X here.
b) The required probability here is computed as:
P( 4 <= X <= 12) = P(X = 4) + P(X = 6) + P(X = 12) = 0.05 + 0.15 + 0.4 = 0.6
Therefore 0.6 is the required probability here.