Bulbs are packed in cartons,each containing $40$ bulbs. Seven hundred cartons were examined for defective bulbs,and the results are given in the following table:
Number of defective bulbs $0$ $1$ $2$ $3$ $4$ $5$ $6$ More than $6$ Frequency $400$ $180$ $48$ $41$ $18$ $8$ $3$ $2$
One carton was selected at random. What is the probability that it has defective bulbs from $2$ to $6$?
| Number of defective bulbs | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | More than $6$ |
| Frequency | $400$ | $180$ | $48$ | $41$ | $18$ | $8$ | $3$ | $2$ |
One carton was selected at random. What is the probability that it has defective bulbs from $2$ to $6$?
- A$\frac{59}{350}$
- B$\frac{59}{750}$
- C$\frac{118}{350}$
- D$\frac{18}{35}$
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Similar Questions
$100$ seeds were selected at random from each of $5$ bags of seeds,and were kept under standardised conditions equally favourable to germination. After some days,the number of seeds which had germinated in each collection were counted and recorded as follows:
Bag $1, 2, 3, 4, 5$ Number of seeds germinated $76, 89, 65, 58, 85$
What is the probability of germination of:
$(1)$ more than $60$ seeds in a bag?
$(2)$ less than $60$ seeds in a bag?
$(3)$ more than $90$ seeds in a bag?
| Bag | $1, 2, 3, 4, 5$ |
| Number of seeds germinated | $76, 89, 65, 58, 85$ |
What is the probability of germination of:
$(1)$ more than $60$ seeds in a bag?
$(2)$ less than $60$ seeds in a bag?
$(3)$ more than $90$ seeds in a bag?
Medium
View Solution$50$ families with $2$ children were selected randomly and the following data were recorded:
Number of girls in a family $0$ $1$ $2$ Number of families $10$ $32$ $8$
If a family is chosen at random,compute the probability that it has: $(1)$ two girls,$(2)$ one girl,$(3)$ no girl.
| Number of girls in a family | $0$ | $1$ | $2$ |
| Number of families | $10$ | $32$ | $8$ |
If a family is chosen at random,compute the probability that it has: $(1)$ two girls,$(2)$ one girl,$(3)$ no girl.
Medium
View SolutionOver 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.
| 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.
Medium
View Solution$A$ 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.
Medium
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 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.
| 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.
Medium
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