Question

ints IllowskyIntroStat1 2.HW.092. low gives the percent of children under five considered to be underweight. Percent of Underweight Children Number of Countries 16-21.45 23 21.45-26.9 26.9-32.35 32.35-37.8 37.8-43.25 43.25-48.7 Dest estimate for the mean percentage of underweight children? (Round your

Answer 1

Given $P(A)=0.2$ and $P(B)=0.6$

(a) $P(A \and \ B)=P(A)\times P(B)=0.2\times 0.6=0.12$

(b)$P(A | B)=\frac{P(A\cap B)}{P(B)}$

$\Rightarrow 0.7=\frac{P(A\cap B)}{0.6}$

$\Rightarrow P(A\cap B)=0.7\times 0.6$

$\Rightarrow P(A\and \ B)=0.42$

Percent of Underweight Children	Midvale $x_{i}$	Number of Countries $f_{i}$	$f_{i}x_{i}$
16-21.45	18.725	23	430.675
21.45-26.9	24.175	3	72.525
26.9-32.35	29.625	7	207.375
32.35-37.8	35.075	8	280.6
37.8-43.25	40.525	6	243.15
43.25-48.7	45.975	1	45.975
Total	XXX	$\Sigma f_{i}=48$	$\Sigma f_{i}x_{i}=1280.3$

Mean $\overline{x}= \frac{\Sigma f_{i}x_{i}}{\Sigma f_{i} }=\frac{1280.3}{48}=26.67$