SOLUTION: The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x......P (X=x) 0

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Question 1083281: The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
x......P (X=x)
0......0.55
1.00......0.15
2.00......0.10
3.00......0.10
4.00......0.04
5.00......0.03
6.00......0.03

Find P(X ≤ 2). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Define
A = probability that X is equal to 0 = 0.55
B = probability that X is equal to 1 = 0.15
C = probability that X is equal to 2 = 0.10
D = probability that X is equal to 3 = 0.10
E = probability that X is equal to 4 = 0.04
F = probability that X is equal to 5 = 0.03
G = probability that X is equal to 6 = 0.03

Using the probabilities defined above, we can say
P%28X+%3C=+2%29+=+A%2BB%2BC
P%28X+%3C=+2%29+=+0.55%2B0.15%2B0.10
P%28X+%3C=+2%29+=+0.80

The final answer is 0.80

Note: if you wish, you can also write it like this
P%28X+%3C=+2%29+=+P%28X+=+0%29%2BP%28X+=+1%29%2BP%28X+=+2%29=0.55%2B0.15%2B0.10=0.80
but in my opinion it's a bit clunky due to all the equal signs. The letter notation might be easier to read.