In an NBA National Basketball Association championship serie

In an NBA (National Basketball Association) championship series, the team that wins four games out of seven is the winner. Suppose that teams A and B face each other in the championship games and that team A has probability 0.55 of winning a game over team B. What is the probability that team A will win the series in 6 games? What is the probability that team A will win the series? The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.1 Haws per panel. What is the expected number of panels that need to be inspected before a flaw is found? If 20 panels are inspected, what is the probability that the number of panels that have one or more flaws is less than 4? A multiple-choice quiz has 200 questions, each with 5 possible answers of which only I is correct. Estimate the probability that sheer guesswork yields from 25 to 30 correct answers for the 100 of the 200 problems about which the student has no knowledge?

Solution

chegg\'s policy allow me to answer 1 question per post

I can gladly help you but you should post it in a new quesiton ( the other 2 question)

b)

i)

expected number = 0.1

ii)

P( x >=1 ) = 1-P( x < 1) = 1 - P(x=0)

P( x = 0 ) =[ e^-(0.1) * 0.1^0 ] / 0! = 0.9048

P( x >= 1 ) = 1 - 0.9048 = 0.0952