Use the graph below to answer the following questions 4 The blue ine represents

Question

Use the graph below to answer the following questions 4 The blue ine represents the cumulative distribution function. (1 point) a. True b. False 5 What is the probabity that Y-b? (1 point) a Fb) b f(b) c. 1-fib) 6 What is the probability that Y z a? (1 point) a F(a) c. 1-a) d. 1- F(a) 7. What is the relationship between the probability density function (PDF) and cumulative distribution function (CDF)? (1 point) a The PDF is the integral of the CDF b. The sum of the PDF and CDF (PDF + CDF) is equal to 1 c. The CDF is the integral of PDF d. The CDF is the derivative of the PDF e. Both (a) and (d).

Explanation / Answer

(4) False

The given curve represents the probability distribution function not the cumulative distribution function.

(5) The answer is (e) 0.

The probability at a point is 0.

(6) The answer is (d) 1 - F(a)

F(a) is the probability that (Y<= a) from cumulative distribution function.

(7) The answer is (c)

i.e. The CDF is the integral of PDF

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