1500 families with 2 children were selected randomly- and the following data were recorded- beginarray -c- c-c- c-c- WheNumber - of - boys - in - a - family - 0 - 1 - 2 ll hlinelend array Compute the probability of a family chosen at random having-i no boyii 1 boyiii 2 boys-4 MARKS-

Formula: 1 Mark Each subpart: 1 Mark each Experimental probability = P(E)=Number of trials in which the event happened/Total number of trials i) P(no boy) =475 ...

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Standard X

Mathematics

Finding Mode for Grouped Data When Class Intervals Are Given

1500 families...

Question

1500 families with 2 children were selected randomly, and the following data were recorded:
$\begin{matrix} N u m b e r o f b o y s i n a f a m i l y & 0 & 1 & 2 N u m b e r o f f a m i l i e s & 475 & 814 & 211 \end{matrix}$
Compute the probability of a family chosen at random having:
i) no boy
ii) 1 boy
iii) 2 boys
[4 MARKS]

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Solution

Formula: 1 Mark
Each subpart: 1 Mark each
Experimental probability = $P (E) = \frac{N u m b e r o f t r i a l s i n w h i c h t h e e v e n t h a p p e n e d}{T o t a l n u m b e r o f t r i a l s}$

i) P(no boy) $= \frac{475}{1500} = \frac{19}{60}$

ii) P(1 boy) $= \frac{814}{1500} = \frac{407}{750}$

iii) P(2 boys) $= \frac{211}{1500}$

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Q. Question 2 (ii)
1500 families with 2 children were selected randomly, and the following data was recorded:

\begin{matrix} N u m b e r o f g i r l s i n a f a m i l y & 2 & 1 & 0 N u m b e r o f f a m i l i e s & 475 & 814 & 211 \end{matrix}

Compute the probability of a family, chosen at random, having 1 girl.

1500 families with 2 children were selected randomly, and the following data were recorded:

$\begin{matrix} Number of girls in a family & 2 & 1 & 0 Number of families & 300 & 500 & 700 \end{matrix}$

Compute the probability of a family chosen at random having 2 girls.

1500 families with 2 children were selected randomly, and the following data were recorded.

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Compute the probability of a family chosen at random having 2 girls.

1500 families with 2 children were selected randomly, and the following data were recorded:

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Compute the probability of a family chosen at random having 2 girls.

Q. Question 2 (iii)
1500 families with 2 children were selected randomly, and the following data were recorded:

\begin{matrix} N u m b e r o f g i r l s i n a f a m i l y & 2 & 1 & 0 N u m b e r o f f a m i l i e s & 475 & 814 & 211 \end{matrix}

Compute the probability of a family, chosen at random, having no girl

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1500 families with 2 children were selected randomly, and the following data were recorded: Number of boys in a family012Number of families475814211 Compute the probability of a family chosen at random having: i) no boy ii) 1 boy iii) 2 boys [4 MARKS]

Formula: 1 Mark Each subpart: 1 Mark each Experimental probability = P(E)=Number of trials in which the event happenedTotal number of trials i) P(no boy) =4751500=1960 ii) P(1 boy) =8141500=407750 iii) P(2 boys) =2111500