11.6.4 The Binomial Distribution
Chapter 8: Chapter 11 · MATHEMATICS-VOLUME 2 · EN medium
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The Binomial Distribution is an important distribution which applies in some cases for repeated independent trials where there are only two possible outcomes: heads or tails, success or failure, defective item or good item, or many other such possible pairs. The probability of each outcome can be calculated using the multiplication rule, perhaps with a tree diagram. Suppose a coin is tossed once. Let X denote the number of heads. Then X Ber p ( ), because we get either head X or tail X with probability p or − p . Suppose a coin is tossed n times. Let X denote the number of heads. Then X takes on the values , , , …, n .
📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 217
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The Binomial Distribution is an important distribution which applies in some cases for repeated independent trials where there are only two possible outcomes: heads or tails, success or failure, defective item or good item, or many other such possible pairs. The probability of each outcome can be calculated using the multiplication rule, perhaps with a tree diagram. Suppose a coin is tossed once. Let X denote the number of heads.
Then X Ber p ( ), because we get either head X or tail X with probability p or − p . Suppose a coin is tossed n times. Let X denote the number of heads. Then X takes on the values , , , …, n .
The probability for getting x number of heads is given by x p n x , x = , , , ..., n .
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