SOLUTION: The organisers of a TV game show think that the probability of any contestant winning a prize will be 0.7, and that the success or failure of any contestant will be independent of
Algebra.Com
Question 864037: The organisers of a TV game show think that the probability of any contestant winning a prize will be 0.7, and that the success or failure of any contestant will be independent of the success or failure of other contestants. Six contestants take part on each episode of the show.
The show runs for 30 episodes altogether. Find the probability that the total number of successful contestants will be more than 120.
Can someone help me with this one?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The organisers of a TV game show think that the probability of any contestant winning a prize will be 0.7, and that the success or failure of any contestant will be independent of the success or failure of other contestants. Six contestants take part on each episode of the show.
The show runs for 30 episodes altogether. Find the probability that the total number of successful contestants will be more than 120.
Can someone help me with this one?
------------------------------
# of contestants = 6*30 = 180
P(success) = 0.7
-----
P(x > 120) = 1 - P(180,0.7,120) = 1 - binomcdf(180,0.7,120) = 0.815
-------------------------
Cheers,
Stan H.
-------------------------
RELATED QUESTIONS
On a TV game show, 12 people have won the grand prize and a total of 498 people have... (answered by math_tutor2020)
Q1. In a certain weekday television show, the winning contestant has to choose randomly... (answered by psbhowmick)
a contestant on a game show has a 1 in 6 chance of winning for each try. if the... (answered by Fombitz)
On a TV game show, the contestant is asked to select a
door and then is rewarded with... (answered by stanbon)
On a TV game show, the contestant is asked to select a
door and then is rewarded with... (answered by stanbon)
On a TV game show, the contestant is asked to select a
door and then is rewarded with... (answered by robertb)
14 The probability of winning a prize in game of chance is 0.2. The least number of games (answered by robertb)
For the daily lottery game in Illinois, participations select three numbers between 0 and (answered by stanbon,solver91311)
In a TV game show, 4 prizes are hidden on a game board that contains 20 spaces.
One... (answered by stanbon)