Question

e 1 2 لنا 4 5 P(0.3 0.1 0.1 0.3 0.2 A pointer is spun once on a circular spinner. The probability assigned to the pointer landing on a given integer (from 1 to 5) is given in the table on the right. Given the following events, complete parts (A) and (B) below. E = pointer lands on an even number F = pointer lands on a number less than 4 (A) Find P(FIE). (Type an integer or a decimal rounded to the nearest thousandth as needed.) (B) Are the events E and F independent? 0 Yes Ο Νο

Answer 1

sol: Gilven, le 0 2 Oil 0.2 34 5 Plei. Onl 0.3 E = pointer lands on even number F: painter lande on a number lex than 4 (a) plfle) ? ple) = plex=2) +ple! =) " even numbers - 01 +0:3 = 0.4 PCF) = pler1) +ple;=2}+plex+3) less than 4 = 0.3 tool tool : 0.5 P(Enf) = less than up only even number. PLENE) = ple1=2) we know that plFle) PLENE) P(EnF) PLEJ PLEJ Ol 004 0.25

(B) E and F are not independent :: PLEMF) = 0.1 PCEIPLE) = 0.440.5 = 0.20 plene) PCE).P(F) NO