Answer :

0.0912   is the probability that the score will be 120 or higher .

What is probability explain with an example?

  • The likelihood that something will occur is the foundation of it.
  • The justification for probability serves as the basic foundation for theoretical probability.
  • A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.

Zlower = X₁ - μ/σ  = 120 - 100/15  = 1.33

the probability is compared as

                    Pr ( X ≥ 120 ) = Pr(X - 100/15 ≥ 120 - 100/15)

                                         = Pr(Z ≥ 120 - 100/15

                                          = Pr( Z ≥ 1.33)

                                          = 0.0912

Since 0.0912 > 0.05 i.e. this IQ score is not unusual and hence I can believe the claim.

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