The probability distribution for the random variable x follows: xf(x)200.20250.15300.25350.40What is the probability that x is less than or equal to 25?What is the probability that x is greater than 30?Please do not solve using Microsoft Excel.  My professor does not teach using excel.  I would like to see the equation and steps involved for my own reference to study for my exams.

Question
Asked Oct 26, 2019
  1. The probability distribution for the random variable x follows:

 

x

f(x)

20

0.20

25

0.15

30

0.25

35

0.40

  1. What is the probability that x is less than or equal to 25?
  2. What is the probability that x is greater than 30?

Please do not solve using Microsoft Excel.  My professor does not teach using excel.  I would like to see the equation and steps involved for my own reference to study for my exams.

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Expert Answer

Step 1

Given data

f(x)
0.20
х
20
25
0.15
30
0.25
0.40
35
Total
1
help_outline

Image Transcriptionclose

f(x) 0.20 х 20 25 0.15 30 0.25 0.40 35 Total 1

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Step 2

1)

probability that x is less than or equal to 25 is given by

f(x=20) +f(x=25) = 0.20+0.15 = 0.35 (From Table)

2)

probability that x is greater than 30 ...

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