Question

In the game of roulette, a wheel consists of 38 slots numbered 0.00, 1.2.36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots in the number of the let the ball fall into matches the number you selected, you win $35; otherwise you lose $1. Complete parts (a) through (a) below. ber t he standard nommal darbuon page 1. Sick here the standard nomadsbution table (page 2). (a) Construct a probably distribution for the random variable X, the winning of each spin PEX) (Type integers or decimals rounded to four decimal places as needed.) (b) Determine the mean and standard deviation of the random van X Round your results to the nearest penny (c) Suppose that you play the game 80 times so that 30 Describe the sampling distribution of the mean amount won per game The sample means Click to your answers ::ASPECT ryBNIM

Answer 1

Solution mumbened n the game f Joulette, a aheel Cnsist& of 38 slets 36 (a Te find the Prdbability distibution ta ble f iandom Vaoiable x the imin of Cach 5Pin:- Slot of 38 is S, P(aim) 38 PLe) 38 38-1 38 34 P(lde) 38 Plx) X 388 31 38 Cb) Nocs to detesmine the andom Vasniable X sta ndand deviation of the and mean Noa t find mean 31 35 38 Mean (u) 38 () = -0.05263 ME-0.05 Noa to find the stamda deviation) 31 38 (es- ( 50-E) 5.1626 -

tene the Sapling distibution of because the Sa mple Size is lange offreimately nmal Noc te fid 서지 -0.05 Now to find 5.1620 1 = a. 6443 0.6443 Qmd to-05) 5.1626 O.05 0-6443 = 0.08

- 1-P <o.08 table) (om standnd namal - -0.5311 0.4681 r (x) =o.468 e) Noc -0.05 5.1626 V240 0.3719t 0.37 to 05) 0-37 O.OS o.3

Zz0.135 Now fnom standard mal table) =1- 0.5557 o.4443 (fNc and Vn 5.1626 goo 0.2037 O-20 Nocw 0to.05 Z- O20 0-95 Noo >) = 1-P (2<0-25) (foom standand nma table) PX7040 13

3)Nac Pahrad ahen n-fe) P(ahead ahen m=240) = 0-4443 P/ahead hen n=800) o.4013 0.468 Ans: The Ponobability of brirg a head decheases as the numbe of games Played increases Thenefne the option-B is e canect answesn