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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 )?

Oct 20th, 2015

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 )?

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

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

values less than 25, including 25 itself.

This implies  P20 or P25 = p20+p25

=0.21/1 +0.13/1 =0.34

=

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

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

= P36 alone = 0.36/1= 0.3600

Oct 20th, 2015

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Oct 20th, 2015

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Oct 20th, 2015

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Oct 20th, 2015

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