ooogle Chrome https://www.mathxl.com/Student/Player Test aspx?testld 157705696&c
ID: 3252007 • Letter: O
Question
ooogle Chrome https://www.mathxl.com/Student/Player Test aspx?testld 157705696¢erwinayes; MAT 120 ELEMENTARY STATISTICS Quiz: Chapter 8 Quiz Time Remaining: 00:57:11 Submit Quiz This Question: 1 pt 6 of 6 (4 complete) v This Quiz: 6 pts possible 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 s spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35. otherwise you lose $1. Complete parts (a) through (g) below. (a) Construct a probability distribution for the random variable X, the winnings of each spin. Test P(x) 35 (b) Determine the mean and standard deviation of the random variable X. Round your results to the nearest 17 (c) suppose that you play the game 90 times so that n a 90. Describe the sampling distribution of x. the mean amount won per game. 117 The sample mean x is What are the mean and standard deviation of the sampling distribution of x? Round your results to the nearest 417 pm (d) What is the probability of being ahead after playing the game 90 times? That is, what is the probabilty that the sample mean is greater than 0 for n 90? P(x >0) 0pm Type an integer or decimal rounded to four decimal places as needed. (e) What is the probability of being ahead after playing the game 180 times? (Type an integer or decimal rounded to four decimal places as needed.) What is the probability of being ahead after playing the game 900 times? Click to select your answer(s)Explanation / Answer
a)
35 - 1/38
-1 - 37/38
b) THis is a normal distribution with mean = 35/38-37/38 = -2/38
Standard deviation = sqrt( 1/38*(35 -(-2/38))^2 + 37/38*(-1+2/38)^2 ) = 5.7626
c) For 90 times, sample mean is n* mean = 90*-2/38 = -4.73
Standard deviation = sqrt(90)* 5.7626= 54.66
d)P(x>0) =
z = (0-mean)/sigma = 4.73/54.66 = 0.086
P(z>0.086) = 0.4657 from normal tables.
Please repost other parts individually.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.