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 no 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 no defective part.
- A$0.85$
- B$0.75$
- C$0.25$
- D$0.55$
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Similar Questions
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 no defective bulb?
| 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 no defective bulb?
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 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 |
| $0, 1, 2, \text{Above } 2$ | |
| $< 10000$ | $20, 80, 10, 0$ |
| $10000-14999$ | $10, 240, 60, 0$ |
| $15000-19999$ | $0, 380, 120, 30$ |
| $20000-24999$ | $0, 520, 370, 80$ |
| $25000$ and above | $0, 1100, 760, 220$ |
Find the probability of a household not having any television.
Easy
View SolutionState whether each of the following statements is true or false:
$(1)$ The probability that the month of February in a leap year has $5$ Saturdays is $0$.
$(2)$ The probability of getting $51$ marks in a $100$ marks examination is $\frac{1}{101}$.
$(1)$ The probability that the month of February in a leap year has $5$ Saturdays is $0$.
$(2)$ The probability of getting $51$ marks in a $100$ marks examination is $\frac{1}{101}$.
Medium
View SolutionAn insurance company selected $1600$ drivers at random in a particular city to find a relationship between age and accidents. The data is as below:
Age group of drivers Number of accidents in one year $(0, 1, 2, 3, >3)$ $18-25$ $320, 125, 75, 45, 30$ $25-40$ $400, 45, 50, 15, 10$ $40-55$ $150, 85, 13, 8, 10$ Above $55$ $150, 25, 17, 20, 7$
Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.
| Age group of drivers | Number of accidents in one year $(0, 1, 2, 3, >3)$ |
| $18-25$ | $320, 125, 75, 45, 30$ |
| $25-40$ | $400, 45, 50, 15, 10$ |
| $40-55$ | $150, 85, 13, 8, 10$ |
| Above $55$ | $150, 25, 17, 20, 7$ |
Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.
Medium
View Solution$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability of that card being a queen.
Easy
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