Wheel of Fortune is a popular game show on Television. Contestants spin a wheel and try to guess a correct letter from a word puzzle. If they guess correctly, they earn the dollar amount from the wheel. If they spin "bankrupt" or "lose a turn" they get nothing and can't play.

 

The outcome of a spin on the wheel is a discrete random variable. Consider X the dollar amount spun on the wheel, where Bankrupt and Lose a Turn = $0, and Free Play = $500. There are 24 wedges on the wheel.

The following table provides the probability mass function forX. Round values to 3 decimal places.

x	$0	$300	$350	$400	$450	$500	$550	$600	$700	$800	$900	$5,000
Count	2	5	1	2	1	3	1	3	1	2	2	1
P(x)	0.083	0.208	0.042	0.083	0.042	0.125	0.042	0.125	0.042	0.083	0.083	0.042

a.  (1 point) What is the least likely dollar amount? There may be more than one dollar amount considered ?least likely?.

2. (1 point) How likely is it to spin and land on $600?
3. (3 points) What is the average dollar amount? Show work!
4. (3 points) Suppose a contestant spins the wheel three times, how likely is it they spin $600 each time? Show work!
5. (3 points) Suppose a contestant spins the wheel three times, how likely is it they spin $600 at least one time? Show work!

Transcribed Image Text:

0.20 0.10 0.00 PMF for Spin Outcome 0 300 350 400 450 500 550 600 700 800 900 5000 0.20 0.10 0.00 PMF for Spin Outcome 0 300 350 400 450 500 550 600 700 800 900 5000