A psychologist studied the number of puzzles subjects were able to solve in a 5 minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a subject. The psychologist found that X had the following probability distribution: Value of X Probability 1 0.2 3 0.3 4 0.1 The probability that a randomly chosen subject completes at least three puzzles in the 5-minute period while listening to soothing music is Answer 2 Points I Tables Ke Keyboard She 01.09 0.03 00.4 06

The probability that a randomly chosen subject completes at least three puzzles in the 5 minute period while listening to soothing music is 0.4.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. The probability of a random variable can be given by,

⇒ f ( x ) p ( x ) = P ( X = x )

As per the question,

Puzzle subjects can be solved in 5 mins
Number of puzzles completed successfully by a subject = X
The value of X and the probability is as follows:

P ( X = 1 ) = 0.2

P ( X = 2 ) = ?

P ( X = 3 ) = 0.3

P ( X = 4 ) = 0.1

⇒ P ( X ≥ 3 ) = P ( X = 3 ) + P ( X = 4 )

= 0.3 + 0.1

P ( X ≥ 3 ) = 0.4

Therefore, 0.4 is the probability that a randomly chosen subject completes at least three puzzles in the 5-minute period while listening to soothing music.

To know more about the Probability of random variables refer to:

https://brainly.com/question/28021875

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