Given that $X \sim \mathrm{B}(35, 0.43)$, find $\mathrm{P}(X=17)$ $\mathrm{P}(X 14)$

Question

Given that $X \sim \mathrm{B}(35, 0.43)$, find $\mathrm{P}(X=17)$ $\mathrm{P}(X > 14)$ $\mathrm{P}(7.3 \le X < 12.1)$ $\mathrm{P}(X \ge 18.2)$ $\mathrm{P}(|X - 13| < 2)$ $\mathrm{P}(|X - 12| > 5)$ Probability that $X$ lies within one standard deviation from the mean. Mode of $X$.

Accepted Answer

(i) $0.108$; (ii) $0.571$; (iii) $0.189$; (iv) $0.120$; (v) $0.317$; (vi) $0.202$; (vii) $E(X)=15.05$, $\operatorname{Var}(X)=8.5785$, probability $0.606$; (viii) mode $=15$

Discrete Random Variables (DRV)

Discrete Random Variables (DRV)

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