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Basic Business Statistics Study Set 2
Quiz 5: Some Important Discrete Probability Distributions
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Question 81
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she gets audited at least once is ________.
Question 82
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that less than 2 prefer Brand C is ________.
Question 83
Short Answer
If X has a binomial distribution with n = 4 and p = 0.3,then P(X = 1)= ________.
Question 84
Short Answer
If X has a binomial distribution with n = 5 and p = 0.1,then P(X = 2)= ________.
Question 85
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that at most 2 prefer Brand C is ________.
Question 86
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The standard deviation of the number of times she will be audited is ________.
Question 87
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she does not get audited is ________.
Question 88
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The expected number of times she will be audited is ________.
Question 89
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that exactly 1 prefers Brand C is ________.
Question 90
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The variance of the number that prefer Brand C is ________.
Question 91
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that more than 3 prefer Brand C is ________.
Question 92
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she gets audited no more than 2 times is ________.
Question 93
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she gets audited once is ________.
Question 94
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that exactly 3 prefer Brand C is ________.
Question 95
Short Answer
If X has a binomial distribution with n = 4 and p = 0.3,then P(X > 1)= ________.
Question 96
Short Answer
In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The variance of the number of times she will be audited is ________.
Question 97
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that exactly 4 prefer Brand C is ________.
Question 98
Short Answer
The on-line access computer service industry is growing at an extraordinary rate.Current estimates suggest that only 20% of the home-based computers have access to on-line services.This number is expected to grow quickly over the next 5 years.Suppose 25 people with home-based computers were randomly and independently sampled.Find the probability that fewer than 10 of those sampled currently have access to on-line services.
Question 99
Short Answer
Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The average number that you would expect to prefer Brand C is ________.