Two close friends live in different continents. Let X be the number of years between two consecutive meetings of two friends. The cumulative distribution function of random variable X is as follows:...


Two close friends live in different continents. Let X be the number of years<br>between two consecutive meetings of two friends. The cumulative distribution function of<br>random variable X is as follows:<br>(0,<br>t<2<br>2st<4<br>2°<br>3<br>F(x) =-<br>4<t<6<br>4'<br>15<br>6<t<8<br>16<br>[1,<br>t2 8<br>a. Is X discrete or continuous random variable?<br>b. If X is discrete, find its pmf. If X is continuous, find its pdf.<br>c. What is P(X= 2)2<br>P(X=5)?<br>d. What is<br>e. What is P(5s X<15),<br>

Extracted text: Two close friends live in different continents. Let X be the number of years between two consecutive meetings of two friends. The cumulative distribution function of random variable X is as follows: (0, t<2><4 2°="" 3="" f(x)="-"><><6 4'="" 15=""><><8 16="" [1,="" t2="" 8="" a.="" is="" x="" discrete="" or="" continuous="" random="" variable?="" b.="" if="" x="" is="" discrete,="" find="" its="" pmf.="" if="" x="" is="" continuous,="" find="" its="" pdf.="" c.="" what="" is="" p(x="2)2" p(x="5)?" d.="" what="" is="" e.="" what="" is="" p(5s=""><>

Jun 10, 2022
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