Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Probability

Short Answer Type

1001. The items produced by a company contain 5% defective items. Show that the probability of getting 2 defective items in a sample of 10 items is

fraction numerator 45 space cross times space 19 to the power of 8 over denominator 20 to the power of 10 end fraction.

90 Views

1002. It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles, 9 are defective?

121 Views

1003. A bag consists of 10 balls each marked with one of the digits 0 to 9. If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?

85 Views

1004. On a multiple choice examination with three possible answers for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?

96 Views

1005. There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item ?

94 Views

1006. The items produced by a firm are supposed to contain 5% defective items. What is the probability that a sample of 8 items will contain less than 2 defective items?

89 Views

1007. There are 5% defective items in large bulk of items. Find the probability that a sample of 5 items will include not more than 2 defective items.

86 Views

1008. There are 6% defective items in a large bulk of items. Find the probability that a sample of 8 items will include not more than one defective item?

Here n = 8
$straight p space equals space 6 over 100 space equals space 3 over 50 comma space space space straight q space equals space 1 space minus space straight p space equals space 1 minus 3 over 50 space equals space 47 over 50$

P(not more than one defective item) = P(0) + P(1)
$equals space straight C presuperscript 8 subscript 0 space open parentheses 47 over 50 close parentheses to the power of 8 plus space straight C presuperscript 8 subscript 1 space open parentheses 47 over 50 close parentheses to the power of 7 space open parentheses 3 over 50 close parentheses space equals open parentheses 47 over 50 close parentheses to the power of 7 space open square brackets 1 space cross times space 47 over 50 plus 24 over 50 close square brackets space equals space open parentheses 47 over 50 close parentheses to the power of 7 space cross times 71 over 50$

95 Views

1009. The items produced by a firm are supposed to contain 5% defective items. What is the probability that a sample of 8 items will contain less than 2 defective items?

91 Views

Long Answer Type

1010. There are 8 % defective items in a large bulk of items. Find the probability that a sample of 10 items will include not more than 3 defective items.

85 Views