$A$ 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 $40$ years.
| 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 $40$ years.
- A$0.925$
- B$0.125$
- C$0.525$
- D$0.325$
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Two coins are tossed $1000$ times and the outcomes are recorded as below:
Number of heads $2$ $1$ $0$ Frequency $200$ $550$ $250$
Based on this information,the probability for at most one head is
| Number of heads | $2$ | $1$ | $0$ |
| Frequency | $200$ | $550$ | $250$ |
Based on this information,the probability for at most one head is
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View Solution$A$ 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 $0, 1, 2, \text{Above } 2$ $< 10000$ $20, 80, 10, 0$ $10000-14999$ $10, 240, 60, 0$ $15000-19999$ $0, 380, 120, 30$ $20000-24999$ $0, 520, 370, 80$ $25000$ and above $0, 1100, 760, 220$
Find the probability of a household not having any television.
| Monthly income (in Rs) | Number of Televisions per household |
| $0, 1, 2, \text{Above } 2$ | |
| $< 10000$ | $20, 80, 10, 0$ |
| $10000-14999$ | $10, 240, 60, 0$ |
| $15000-19999$ | $0, 380, 120, 30$ |
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| $25000$ and above | $0, 1100, 760, 220$ |
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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.
| 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.
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View SolutionTwo coins are tossed simultaneously $400$ times with the following frequencies of different outcomes:
Two heads: $100$ times
One head: $220$ times
No head: $80$ times
Find the probability of occurrence of each of these events.
Two heads: $100$ times
One head: $220$ times
No head: $80$ times
Find the probability of occurrence of each of these events.
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