The probability of a score above 56 is 0.025.
The probability of an event occurring is defined by probability. Probability is the unit of measurement for an event's likelihood. It is the proportion of successful outcomes to all possible outcomes. For instance: (1) Throwing a die and getting the numbers 3 and 5 (2) Throwing a die and getting both an even and an odd number
Given,
A normal distribution has a mean of 50, and a standard deviation of 3.
P( x > 56)
= P(X - mean/standard deviation > 56-50/3)
= P(Z > 6/3)
= P( Z > 2)
= 1 - P(Z<2)
= 1 - 0.9772
= 0.0228
0.025 (Approximately)
The probability of a score above 56 is 0.025.
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