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Madou
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For a random value X~Bi(5,0.2) evaluate the probability of X<4.
Any ideas?
What is Bi?
Any ideas?
What is Bi?
When we say "X~Bi(5,0.2)", it means that X follows a Binomial distribution with 5 trials and a probability of success of 0.2. This means that X can take on values from 0 to 5, and each trial has a 0.2 probability of resulting in a success.
The probability of X<4 for X~Bi(5,0.2) can be calculated by finding the sum of the probabilities of X taking on values 0, 1, 2, or 3. This can be done using the binomial probability formula or by using a binomial probability table.
No, the probability of X<4 cannot be greater than 1 for X~Bi(5,0.2). This is because probabilities must always be between 0 and 1, inclusive.
The probability of X<4 for X~Bi(5,0.2) represents the likelihood of getting a value less than 4 when conducting 5 trials with a 0.2 probability of success. It can be useful in predicting the outcome of future trials or in making decisions based on the likelihood of certain events occurring.
The probability of X<4 for X~Bi(5,0.2) can be used in various real-life situations such as in business decision-making, risk analysis, and forecasting. For example, a company may use this probability to estimate the likelihood of a product being successful based on previous market trends, or a weather forecast may use this probability to predict the likelihood of a certain amount of rain occurring in a given area.