The probability of the variable P(x>42)=0.1271.The graphs are attached below.
What is probability?
The area of mathematics described as probability concerns with appropriate units of the possibility that an event will occur or that a statement is true. An venue's probability is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 represents certainty.
Relation between X and variable Z
=Z=(X-μ) /σ
=Ф(z)=P(Z ≤ z)
=P(X>42)=p(Z>(42-50)/7
=P=(Z>-(8/7))
=P=(Z>-1.1429)
=p(X>42)=P(Z> -1.1429)
=1 - p(Z<1.1429)
=1 - Ф(1.1429)
=1 - 0.8729
=0.1271
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