Over the past 200 working days,the number of | vedclass

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(A) The total number of past working days is $200$.Let $E$ be the event that tomorrow's output will have not more than $5$ defective parts.'Not more t

Vedclass · Accepted Answer

$0.73$

Vedclass · Answer

(A) The total number of past working days is $200$.Let $E$ be the event that tomorrow's output will have not more than $5$ defective parts.'Not more than $5$' means the number of defective parts can be $0, 1, 2, 3, 4,$ or $5$.From the given table,the number of days corresponding to these values are:Days with $0$ parts: $50$Days with $1$ part: $32$Days with $2$ parts: $22$Days with $3$ parts: $18$Days with $4$ parts: $12$Days with $5$ parts: $12$Total number of favorable outcomes $= 50 + 32 + 22 + 18 + 12 + 12 = 146$.The probability $P(E)$ is given by:$P(E) = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of trials}}$$P(E) = \frac{146}{200} = 0.73$.

Lifetime (in hours)	$300$	$500$	$700$	$900$	$1100$
Frequency	$10$	$12$	$23$	$25$	$10$

Age (in years)	$20-29$	$30-39$	$40-49$	$50-59$	$60$ and above
Number of workers	$38$	$27$	$86$	$46$	$3$

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Number of defective parts	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$	$13$
Days	$50$	$32$	$22$	$18$	$12$	$12$	$10$	$10$	$10$	$8$	$6$	$6$	$2$	$2$