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Question: a uniform distribution is a continuous probability distribution for a...

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A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a<b), where a sxsb and all of the Ay values of x are equally likely to occur The graph of a uniform distribution is shown to the right. The probability density function of a uniform distribution is shown below. Show that the probability density function of a uniform distribution satisfies the two conditions for a probability density function. b- a Verify the area under the curve is equal to 1. Choose the correct explanation below. O A. The area under the curve is the area of the rectangle. (b-a) O B. The area under the curve is sum of the maximum and minimum. a b 0 1 1 O C. a.1 The area under the curve is two times the mean. 2 Show that the value of the function can never be negative. Choose the correct explanation below. O A. The denominator of the probability density function is always positive because a <b, so b a 0, therefore the function must always be positive. O B. The numerator of the probability density function is 1, so the function must always be positive O C. The value of b-a is less than one, therefore the value of the function must always be greater than 1.

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