Question

Let x be the number of courses for which a randomly selected student at a certain...

Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below:

x 1 2 3 4 5 6 7
p(x) .03 .05 .09 .26 .39 .14 .04

(a) What is P(x = 4)?
P(x = 4) =

(b) What is P(x ≤ 4)?
P(x ≤ 4) =  

(c) What is the probability that the selected student is taking at most five courses?
P(at most 5 courses) =  

(d) What is the probability that the selected student is taking at least five courses? more than five courses?
P(at least 5 courses) =  
P(more than 5 courses) =  

(e) Calculate P(3 ≤ x ≤ 6) and P(3 < x < 6).
P(3 ≤ x ≤ 6) =  
P(3 < x < 6) =

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