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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$1000$ 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 $128$ $672$ $200$
Compute the probability of a family,chosen at random,having $(1)$ two girls,$(2)$ one girl.
| Number of girls in a family | $0$ | $1$ | $2$ |
| Number of families | $128$ | $672$ | $200$ |
Compute the probability of a family,chosen at random,having $(1)$ two girls,$(2)$ one girl.
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View SolutionThree coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$
$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$
Prepare a frequency distribution table for the data given above.
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
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Prepare a frequency distribution table for the data given above.
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View Solution$A$ bag contains $40$ balls of the same shape and weight. Among the balls, $18$ are red, $12$ are yellow, and the rest are blue. What is the probability that a ball drawn at random from the bag is blue?
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View Solution$A$ die is thrown $1000$ times and the outcomes were recorded as follows:
Outcome $1$ $2$ $3$ $4$ $5$ $6$ Frequency $180$ $150$ $160$ $170$ $150$ $190$
If the die is thrown once more,then the probability that it shows $5$ is:
| Outcome | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Frequency | $180$ | $150$ | $160$ | $170$ | $150$ | $190$ |
If the die is thrown once more,then the probability that it shows $5$ is:
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