Probability Problems: P(X≤15)=0.3, P(15<X≤24)=0.6, P(X>20)=0.5

In summary, the given conversation discusses a problem with incorrect probability notation. The correct notation should be P(X≤15) = 0.3, P(15<X≤24) = 0.6, and P(X>20) = 0.5. The desired probability to be found is P(15<X≤20).
  • #1
Mesmer
40
0
Let [tex]P(X\leq \15)= 0.3, P(15\less X \leq24)=6[/tex] and (P X > 20) = 0.5I don't understand how I would find this probability: [tex]P(15\lessX\leq20[/tex]

The answer is 0.2.
 
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  • #2
Are you sure you posted the problem correctly? The probability of an event cannot equal 6, first of all.
 
  • #3
You are correct, the problem is not posted correctly. My latex coding is lacking...I wish there were a way a could delete this post.
 
  • #4
Is it meant to be 0.6 by any chance? Thus, is your first equation meant to be [tex]P(X\leq \15)= 0.3,\ \ P(15< X \leq24)=0.6,\ \ P(X>20)=0.5[/tex], and you want to find [tex]P(15< X \leq20)[/tex]?
 

FAQ: Probability Problems: P(X≤15)=0.3, P(15<X≤24)=0.6, P(X>20)=0.5

What is the probability that X is less than or equal to 15?

The probability that X is less than or equal to 15 is 0.3.

What is the probability that X is between 15 and 24?

The probability that X is between 15 and 24 is 0.6.

What is the probability that X is greater than 20?

The probability that X is greater than 20 is 0.5.

How do these probabilities add up?

These probabilities do not add up to 1, as they are not mutually exclusive events. In other words, there can be overlap between the events.

What is the probability of X being exactly 15 or 24?

The probability of X being exactly 15 or 24 is not given in the given information. We can only determine probabilities for ranges or intervals, not specific values.

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