QUESTION 21 Consider a random variable X that is normally distributed with mean μ = 2.5 and a standard deviation o = 2.

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QUESTION 21 Consider a random variable X that is normally distributed with mean μ = 2.5 and a standard deviation o = 2. Calculate (a) P(X> 7.6). (b) P (7.4 ≤X ≤ 10.6). (c) x such that P (X> x) = 0.025. (d) x such that P (x ≤X ≤ 2.5) = 0.4943. (3) (4) (3) (4) (a) What percentage of teacher's salary can be between R40 000 and R50 000? (b) What percentage of teacher's salary can be more than R80 000? (c) What percentage of teacher's salary can be less than R60 000? [14] QUESTION 22 Consider teacher's salary that is normally distributed with an average annual salary of R43 000 and a standard deviation of R18 000. (5) (3) (3)