MEDIUM
12th West Bengal Board
IMPORTANT
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The mean and variance of a binomial distribution are 4 and 43 respectively. Find P(X≥1).

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Important Questions on Probability (Part-II)

EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 2
The mean and variance of a binomial distribution 43 and 89 respectively. Find P(|X-2|≤1), where X is the binomial variate of the given distribution.
MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 3
Determine the binomial distribution whose mean and standard deviation are respectively 83 and 223.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 3
"The mean of a binomial distribution is 6 and the standard deviation is 4'''. Can the statement be true? Give the reason.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 3
For a binomial distribution, the mean and standard deviation are respectively 6 and 5. The probability of getting a non-zero value from this distribution is 1-56m, then find the value of m.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 4
The probability that a fruit is stale is 0.2. Find the mean and variance for the distribution of stale fruit in a total of 800 fruits.
MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 5
If two dice are rolled 12 times, obtain the mean and the variance of the distribution of successes, if getting a total greater than 4 is considered a success.
EASY
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 6
If one out of 10 persons are illiterate, find the mean and standard deviation of the number of literate persons out of a total of 500 persons.
MEDIUM
12th West Bengal Board
IMPORTANT
RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 27 - Probability (Part-II)>EXERCISE>Q 7
For a binomial variate X, the events (X=49) and (X=50) are most probable. If the mean of X is 49.6, find the variance of X and hence find the binomial distribution of the variate X.