In a computer lab there is a 75% chance that a student ends up using a...

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In a computer lab there is a 75% chance that a student ends up using a computer with a small monitor (call this event M). In this case, the length of time that the student works is X|M~ N(μ = 40, o = 3). However, if the monitor is large (call this Mº), the length of time that the student works is increased by N(= 5,0 = 1). (i) What is the distribution of X| Mº? (ii) Calculate Pr(X ≤ 43| M) and Pr(X ≤ 43| Mº). In a computer lab there is a 75% chance that a student ends up using a computer with a small monitor (call this event M). In this case, the length of time that the student works is X|M~ N(μ = 40, o = 3). However, if the monitor is large (call this Mº), the length of time that the student works is increased by N(= 5,0 = 1). (i) What is the distribution of X| Mº? (ii) Calculate Pr(X ≤ 43| M) and Pr(X ≤ 43| Mº).