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Binomial Distribution Maths - Binomial Distribution

Gujarat Board (GSEB) - STD 12 Science - Maths (GSEB - English Medium). 137 questions in this chapter.

Question types

Binomial Distribution question types

137 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

137
Questions
5
Question groups
5
Question types
Sample Questions

Binomial Distribution questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
If the mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than 1 is:
  1. $\frac{2}{3}$
  2. $\frac{4}{5}$
  3. $\frac{7}{8}$
  4. $\frac{15}{16}$
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Q 3M.C.Q (1 Marks)1 Mark
A fair coin is tossed 100 times. The probability of  getting tails an odd nimber of times is:
  1. $\frac{1}{2}$
  2. $\frac{1}{8}$
  3. $\frac{3}{8}$
  4. $\text{None of these}$
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Q 4M.C.Q (1 Marks)1 Mark
Mark the correct alternative in the following question:
Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If $\frac{\text{P(X = r})}{\text{P(X = n} -\text{r})}$ is independent of n and r, then p equals:
  1. $\frac{1}{2}$
  2. $\frac{1}{3}$
  3. $\frac{1}{5}$
  4. $\frac{1}{7}$
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Q 5M.C.Q (1 Marks)1 Mark
If X follows a binomial distribution with parameter $\text{n}=100$ and $\text{p}=\frac{1}{3},$ then P(X = r) is maximum when r = 
  1. 32
  2. 34
  3. 33
  4. 31
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Q 82 Marks2 Marks
A bag contains 7 red, 5 white and 8 black balls. If four balls are drawn one by one with replacement, what is the probability that
any two are white?
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Q 112 Marks2 Marks
The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs.
not more than one.
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Q 123 Marks3 Marks
Five dice are thrown simultaneously. If the occurrence of 3, 4 or 5 in a single die is considered a success, find the probability of at least 3 successes.
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Q 163 Marks3 Marks
The probability is 0.02 that an item produced by a factory is defective. A shipment of 10,000 items is sent to its warehouse. Find the expected number of defective items and the standard deviation.
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Q 174 Marks4 Marks
An experiment succeeds twice as often as it fails. Find the probability that in the next 6 trials there will be at least 4 successes.
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Q 184 Marks4 Marks
If the mean and variance of a random variable X having  a binomial distribution are 4 and 2 respectively, find P (X = 1).
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Q 194 Marks4 Marks
A bag contains 10 balls, each marked with one of the digits from 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?
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Q 204 Marks4 Marks
In a large bulk of items, 5 percent of the items are defective. What is the probability that a sample of 10 items will include not more than one defective item?
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Q 214 Marks4 Marks
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes.
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