(a) WSU, The College students can either learn at campus or online. The table below shows the probability distribution of the number of days per week WSU, The College students learn on campus. P(x)...

Extracted text: (a) WSU, The College students can either learn at campus or online. The table below shows the probability distribution of the number of days per week WSU, The College students learn on campus. P(x) xP(x) (x-4) (x-4) P(x) 0.04 0.33 0.45 4 0.12 0.06 (i) Explain why the above table is a valid probability distribution. (ii) Determine the probability a randomly selected student learns at campus three times pe week. 2.


Extracted text: 0.06 (i) Explain why the above table is a valid probability distribution. (ii) Determine the probability a randomly selected student learns at campus three times per week. (iii) Find the probability a randomly selected student learns at campus at least three times per week. (iv) Calculate the expected number of days per week students learn on campus. (v) By considering the table above, determine the variance of the above probability distribution. Write your answer correct to 4 decimal places. (vi) Hence, find the standard deviation of the above probability distribution. Write your answer correct to 3 decimal places.