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?

Solutions

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

Next > < Previous

Related Solutions

In a game of chance, first 20 natural numbers are listed on a piece of paper...

In a game of chance, first 20 natural numbers are listed on a piece of paper and three numbers are chosen at random. If the numbers form an A.P. you will get Rs. 10000, If the numbers form a GP you will get Rs. 20000, otherwise you have to pay Rs. 8000. What is the mean expected gain and the corresponding risk, if you play the game?

If a gambling game is played with expected value $0.40, then there is a 40% chance...

If a gambling game is played with expected value $0.40, then there is a 40% chance of winning. false true

Suppose we have a 20% chance of winning a game and play 30 times. What is...

Suppose we have a 20% chance of winning a game and play 30 times. What is the probability we win the game 4-13 times (note: 4 and 13 are included in the interval)? Show your work. If you use a calculator, you must identify the list(s) and/or function(s), with input(s), you used. Give your answer to three decimal places.

(1 point) A game of chance involves rolling an unevenly balanced 4-sided die. The probability that...

(1 point) A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.13, the probability that a roll comes up 1 or 2 is 0.48, and the probability that a roll comes up 2 or 3 is 0.47 . If you win the amount that appears on the die, what is your expected winnings? (Note that the die has 4 sides.)

A radio tube inserted into a system has probability 0.2 of lasting 500 hours. 20 tubes...

A radio tube inserted into a system has probability 0.2 of lasting 500 hours. 20 tubes are tested. 1. Find probability that exactly that 'k' of these tubes will last more than 500 hours. 2. Find probability that number of tubes that last more than 500 hours will fall between 12 and 17. 3. Sketch the CDF of the random variable that describes the random phenomenon Also: a die is rolled 120 times. Find probability that 35 or more sixes...

A video game designer decides to include a character in a new game that only moves...

A video game designer decides to include a character in a new game that only moves along a parabolic path. The designer uses the function x²+50+10 to model this character’s path, where y is the height of the character in pixels and x is the time in seconds that it takes the character to move across one parabolic path. a. Is the vertex of the function a maximum or minimum point and how can you tell? b. Find the x-coordinate...

A game of chance offers the following odds and payoffs:

A game of chance offers the following odds and payoffs:Probability Payoff0.2 $5000.4 1000.4 0a) What is the expected cash payoff?b) Suppose each play of the game costs $100. What is the expected rate of return?c) What is the variance of the expected returns?d) What is the standard deviation of the expected returns?

A game of chance offers the following odds and payoffs. Each play of the game costs...

A game of chance offers the following odds and payoffs. Each play of the game costs $100, so the net profit per play is the payoff less $100. Probability Payoff Net Profit 0.10 $700 $600 0.50 100 0 0.40 0 –100 a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.) a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.) b-1. What is...

A friend proposes a unique game of chance to you. He swears the game is straightforward...

A friend proposes a unique game of chance to you. He swears the game is straightforward but you're not sure. He proposes, you flip a coin and then roll a dice and your payout is the amount showing on the dice. However if you flip heads, you roll a 6 sided dice, and if you flip tails, you roll a 10 sided dice. What is the expected payout from this game?

In the following year, there is a 10% chance of a bear market, a 20% chance...

In the following year, there is a 10% chance of a bear market, a 20% chance of a bull market, and a 70% chance of a neutral market. Debt will return -2%, 5%, and 5% in the bear, bull and neutral market, respectively. Equity will return -15%, 15%, and 8% in the bear, bull and neutral market , respectively . What is the expected return of debt in %? (round to 1 decimal place) What is the volatility of equity in...

Subjects