Find the probability that at most 5 defective fuses will be found in a

Conc. of AiCI₃ /Sample

Question

Find the probability that at most 5 defective fuses will be found in a box of 200, if experience shows that 20% of such fuses are defective.

b) The following table gives the hours spent by 50 students in the playground in a week:

Hours			0		2	4		6		8	10
No. of students			10		6	8		6		10	10

Calculate the mean median and standard deviation of the hours required by students.

13 Feb 2025

Answer :

Word Count : 422

For the first part, we are asked to find the probability that at most 5 defective fuses are found in a box of 200, when 20% are defective. Here the number of defective fuses follows a Binomial distribution with parameters $n = 200$ and $p = 0.2$. So, the mean is $\mu = np = 200 \times 0.2 = 40$ and variance is $\sigma^2 = npq = 200 \times 0.2 ______ _________ ________ ____ _______ ______ ___.
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समय	प्रतिदर्श संख्या
	1	2	3	4	5
9 बजे प्रातः	8	9	15	4	11
10	7	10	7	6	8
11	11	12	10	9	10
12	12	8	6	9	12
1 बजे सांय	11	10	6	14	11
2	7	7	10	4	11
3	10	7	4	10	10
4	8	11	11	11	7

Year			Number sold (thousands)
1990			3
1991			3
1992			3
1993			3
1994			6
1995			6
1996			6
1997			6
1998			9
1999			10
2000			12