The probability distribution for the random variable x follows.

X. f (x)

20. 0.21

25. 0.13

30. 0.30

36. 0.36

a) what is the probability that x = 30 ( to 2 decimal )?

b)what is the probability that x is less than or equal to 25 ( to 2 decimal )?

c)what is the probability that x is greater than 30 ( to 2 decimal )?

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Total f(x)=0.21+0.13+0.30+.36= 1.0

f(x) for 30 is 0.3

P(30)=0.3/1= 0.30

values less than 25, including 25 itself.

This implies P20 or P25 = p20+p25

=0.21/1 +0.13/1 =0.34

=

X greater than 30 means values more than that, excluding 30

= P36 alone = 0.36/1= 0.3600

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