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Practise equality, tails and a centred absolute inequality

For X∼B(23,0.34)X\sim B(23,0.34), evaluate (i) P(X=4)P(X=4), (ii) P(X≤6)P(X\le6), (iii) P(X<5)P(X<5), (iv) P(X>4)P(X>4), (v) P(X≥14.5)P(X\ge14.5), (vi) P(7<X≤16)P(7<X\le16), and (vii) P(∣X−8∣<5.6)P(\lvert X-8\rvert<5.6).

CJC · Lecture · Self-Practice 1

Convert the event before evaluating it.

CDF differences remove the lower endpoint only when the correct lower cumulative bound is subtracted.

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