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Q. What is Uniform Distribution?
Ans.
A distribution is the set of possible values of a random variable considered in terms of their theoretical or observed frequency. The easiest distribution is uniform.
This occurs when each possible value of a random variable is equally likely to occur, or has the same probability.
The most popular example of a uniform distribution is rolling a die. The possible outcomes are 1, 2, 3, 4, 5, or 6. Assuming the die is fair, each outcome is equally likely and has a 1/6 chance of occurring.
There are 6 possible values and each one is equally likely, so the probability of getting any one of the numbers is 1/6. The probability function is
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
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