Question

The probability mass function of a RV X is defined as P(X=0)=3C², P(X=1)=4C-10C² and P(X=2) = 5C-1, where C> 0 and P(X= r) = 0, if r? 0, 1, 2. (i) Find the value of C. (ii) Find P{0 <X<2/X>0}. (iii) the distribution function of X, (iv) the largest value of X for which F(x) < \frac{1}{2}

          The probability mass function of a RV X is defined as
P(X=0)=3C², P(X=1)=4C-10C² and P(X=2) = 5C-1, where
C> 0 and P(X= r) = 0, if r? 0, 1, 2.
(i) Find the value of C.
(ii) Find P{0 <X<2/X>0}.
(iii) the distribution function of X,
(iv) the largest value of X for which F(x) < \frac{1}{2}

The probability mass function of a RV X is defined as
P(X=0)=3C², P(X=1)=4C-10C² and P(X=2) = 5C-1, where
C> 0 and P(X= r) = 0, if r? 0, 1, 2.
(i) Find the value of C.
(ii) Find P0 <X<2/X>0.
(iii) the distribution function of X,
(iv) the largest value of X for which F(x) < (1)/(2)

Added by Christy D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

09/26/2023

Step 1

Step 1: The sum of all probabilities in a probability mass function is equal to 1. Show more…

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The probability mass function of a RV X is defined as P(X=0)=3C². P(X=1)=4C-10C² and P(X=2) = 5C-1, where C> 0 and P(X= r) = 0, if r≠ 0, 1, 2. (i) Find the value of C. (ii) Find P{0 <X<2/X>0}. (iii) the distribution function of X, (iv) the largest value of X for which F(x) <= 1/2