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(B) Total number of workers in the factory $= 38 + 27 + 86 + 46 + 3 = 200$.Let $E$ be the event that the person selected at random is under $60$ but o

Vedclass · Accepted Answer

$0.66$

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(B) Total number of workers in the factory $= 38 + 27 + 86 + 46 + 3 = 200$.Let $E$ be the event that the person selected at random is under $60$ but over $39$ years of age.From the table,the age groups satisfying this condition are $40-49$ and $50-59$.The number of workers in these age groups $= 86 + 46 = 132$.The probability $P(E)$ is given by the ratio of the number of favorable outcomes to the total number of outcomes:$P(E) = \frac{	ext{Number of workers aged between } 40 	ext{ and } 59}{	ext{Total number of workers}}$$P(E) = \frac{132}{200} = 0.66$.

Age (in years)	$20-29$	$30-39$	$40-49$	$50-59$	$60$ and above
Number of workers	$38$	$27$	$86$	$46$	$3$

Sum	Frequency
$2$	$14$
$3$	$30$
$4$	$42$
$5$	$55$
$6$	$72$
$7$	$75$
$8$	$70$
$9$	$53$
$10$	$46$
$11$	$28$
$12$	$15$

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$A$ recent survey found that the ages of workers in a factory is distributed as follows: Age (in years) $20-29$ $30-39$ $40-49$ $50-59$ $60$ and above Number of workers $38$ $27$ $86$ $46$ $3$ If a person is selected at random,find the probability that the person is under $60$ but over $39$ years.