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 more than $13$ defective parts.

  • A
    $1$
  • B
    $0$
  • C
    $\frac{1}{200}$
  • D
    $\frac{13}{200}$

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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 not more than $5$ defective parts.

$A$ die is thrown $400$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in the following table:
Outcome $1$ $2$ $3$ $4$ $5$ $6$
Frequency $68$ $70$ $74$ $54$ $70$ $64$

Find the probability of getting each outcome.

$A$ 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 obtained is listed in the following table:
Monthly income (in Rs) Number of Televisions per household
$0, 1, 2, \text{Above } 2$
$< 10000$ $20, 80, 10, 0$
$10000-14999$ $10, 240, 60, 0$
$15000-19999$ $0, 380, 120, 30$
$20000-24999$ $0, 520, 370, 80$
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Find the probability of a household not having any television.

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