A game designer claims that there is a 20% chance (or a probability value of 0.2)...

A game designer claims that there is a 20% chance (or a probability value of 0.2) that an intermediate player will complete the fifth level of a game at the first trial. The game is tested by 8 players of intermediate skills. Assuming events are independent,answer the following questions:

a)What is the probability that only two out of 8 players will pass the game fifth level at the first trial? (NOTE: there are 28 different ways to select 2 players out of 8 players)

b)What is the probability that at least one player out of the 8 players will pass the game fifth level at the first trial?

c)What’s the probability that none of the 8 players will pass the fifth level at the first trial?

Expert Solution

The binomial distribution is used in experiments when the number of trials are fixed. The events are independent and identical i.e. they have the same probability. For a sample size greater than 20, we use poisson distribution as an approximation to the binomial distribution.

orchestra answered 2 years ago

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