$A$ 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 having age from $30$ to $39$ years.

  • A
    $0.135$
  • B
    $0.145$
  • C
    $0.185$
  • D
    $0.155$

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$A$ company selected $4000$ households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:
Monthly income (in Rs) $0$ Televisions $1$ Television $2$ Televisions Above $2$ Televisions
$< 10000$ $20$ $80$ $10$ $0$
$10000-14999$ $10$ $240$ $60$ $0$
$15000-19999$ $0$ $380$ $120$ $30$
$20000-24999$ $0$ $520$ $370$ $80$
$25000$ and above $0$ $1100$ $760$ $220$

Find the probability of a household earning $Rs. 25000$ and more per month and owning $2$ televisions.

Over the past $200$ working days,the number of defective parts produced by a machine is given in the following table:
Number of defective parts $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$
Days $50$ $32$ $22$ $18$ $12$ $12$ $10$ $10$ $10$ $8$ $6$ $6$ $2$ $2$

Determine the probability that tomorrow's output will have at least one defective part.

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