Probability Assignment quiz

Consider the following discrete probability distribution. What is the probability that X is negative?

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It is known that 10% of the calculators shipped from a particular factory are defective and the data follows a binomial distribution. What is the probability that exactly three of five chosen calculators are defective?

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The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 241.25 pounds is

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The assembly time for a product is uniformly distributed between 6 to 10 minutes, the probability of assembling the product in 7 minutes or more is

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Three workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners, Mary packs 25% of the dinners and Sue packs the remaining dinners. Of the dinners John packs 4% do not include a salt packet. If Mary packs the dinner 2% of the time the salt is omitted. Lastly, 3% of the dinners do not include salt if Sue does the packing. What is the probability that you will have salt packed with your dinner?

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If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =

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The following data show the number of hours worked by 200 statistics students.

Determine the probability of a student working 19 hours or less.

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As a company manager for the Quick Money Business there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.25. What is the probability of getting a raise?

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If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) =

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A recent survey shows that the probability of a college student drinking alcohol is 0.6. 
Further, given that the student is over 21 years old, the probability of drinking alcohol is 0.8. 
It is also known that 30% of the college students are over 21 years old. 
What is the probability of drinking alcohol or being over 21 years old?

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Alison has all her money invested in two mutual funds, A and B. She knows that there is a 40% chance that fund A will rise in price. 
There is a 60% chance that fund B will rise in price given that fund A rises in price. 
There is also a 30% chance that fund B will rise in price. 
What is the probability that at least one of the funds will rise in price? 

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As a company manager for the Quick Money Business there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.25. What is the probability of getting a raise?

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X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is between 17 and 22 is

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X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is more than 9.7 is

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Thirty percent of the CFA candidates have a degree in economics. A random sample of three CFA candidates is selected. What is the probability that at least one of them has a degree in economics?

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Which of the following can be represented by a discrete random variable?

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Mutually exclusive and collectively exhaustive events contain all outcomes of a sample space, and they do not share any common outcomes.

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If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) =

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An experiment consists of four outcomes with P(E₁) = 0.2, P(E₂) = 0.3, and P(E₃) = 0.4. The probability of outcome E₄ is

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