Consider the experiment depicted by the Vann ciagram, with the sample spate Stamtaining five sample points. The smule ga
Posted: Fri Dec 24, 2021 9:55 am
P(E2)=0.2,
P(E3)=0.2,
P(E4)=0.3,
P(E5)=0.2.
c.
Consider the experiment depicted by the Vann ciagram, with the sample spate Stamtaining five sample points. The smule gains are assigned the probabilities PE 3-0.1, PE,J=02 PE) = 0.2, PE,=0.3,and PLEY-0.2. Complete parts a through c a. Calculate PPB), and PianB. PA-Type an integer or a decimal.) PB:-(Type an integer or a decimal.) PAB) -Type an Weger or a decimal) b. Suppose event. A has occurred, so that the reduced sample space consists of the three sample points in Aamely, E, E, and Ej. Use the formula for conditional probability to adjust the probebilities of these three sample points for the knowledge that A les ocurred that is PE, A]. Find the ratio of the conditions pratobiliare lo verify they are in the same proportion les one another as the original sample guin procratiflies. Caculate PE, APE, IA) and PE, A. FEAT_PE=_PE31A)= _Type Integer or decimals. Write the ratio of PC) : PE) to PC) using the smallest integer possible. ww(List tulus in same order as hy appear in the wriginal lis. Write the mio of PE.A to P15, A} to PESA) using the smalcst integer possible List the terms in the same order as they appear in the original lis. c. Calculate the conditional probability PBIA. Usu either af the failuwing ways: (1) Add the cleled conditional pratrabilities of the samtalepairules in the indersection AB, as these represent the event that Bancours given that has occurred (2) use the formula for sanilional protulity, as shown beakta. PANDI PBA PIA Wiki PIB AI? PIBA- Typean integer or a decimal)