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the length of time needed to complete a certain test is normally distributed with mean 44 minutes and standard deviation 8 minutes. find the probability that it will take less than 34 minutes to complete the test. a) 0.0528 b) 0.5000 c) 0.9472 d) 0.1056 e) 0.8944 f) none of the above



Answer :

0.9472 is  the probability that it will take less than 34 minutes to complete the test.

What are examples and probability?

  • It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability.
  • A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.
  • A probability is a number that expresses the possibility or likelihood that a specific event will take place.
  • Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

μ = 44  & = 8

ρ( X < 34 ) = ρ( Z < x - μ/&)

ρ( Z < 44 - 34/8)

ρ( z < 39.75)

= 0.9472

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