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Homework answers / question archive / 1)A binomial distribution has 12 trials and probability of success of 0

1)A binomial distribution has 12 trials and probability of success of 0

Statistics

1)A binomial distribution has 12 trials and probability of success of 0.4. Calculate the variance for this distribution.

 

 

  1. The Binomial Probability formula is P(x)= nCxπx(1-π)n-x Match the Variable from the formula to its description. 
  2. A Binomial experiment has independent trials and the outcome of a trial can be classified as either a success or a failure. Which two of the following statements also describe features of a binomial experiment?
  3. Which of the following statements best describes a Probability Distribution?
  4. Which of the following is a possible probability distribution?
  5. Place the following computational steps in order in which you would do them to find the standard deviation for a probability distribution. Start with the one you would do first at the top.
  6. Jerry rolls a pair of dice and counts a total of seven dots on the uppermost faces of the dice. Match the feature of its process to correct the term.
  7. Choose the two random variables from this list that are continuous.
  8. The hypergeometric distribution is like the binomial distribution, but it used when the experiment involves sampling without replacement. The formula used to calculate probabilities is

 

 

  1.  A random variable can be defined as:
  2. Choose the random variable from this set that are discrete. Select all that apply.
  3. Which of the following formulas is the easiest way to calculate the mean of a binomial distribution?
  4. Which of the following formulas is the easiest way to calculate the variance of a binomial distribution?
  5. Which of the following statements describes the Poisson Distribution? Select all that apply.
  6. A binomial experiment consists f tossing 10 coins and observing the number of “heads” that land up. Identify the two questions from this list that would usually be answered by using a cumulative probability distribution.
  7. The formula for the Poisson Distribution is . Match the variables.
  8. Choose the random variables from this set that are discrete. Select all that apply.
  9. Which of the following statements describes the relationship between Poisson distribution and the binomial distribution?
  10. Calculate the mean for the probability distribution shown here.

 

  1. Is it easier to use a binomial probability table instead of calculating the probability under what circumstances?
  2.  When can a binomial distribution be used as a good approximation to hypergeometric distribution?
  3. What is a Discrete Random Variable?
  4.  The table show provides binomial probabilities for n=6. If 80% of drivers admit to talking on their cell phones while they drive, what is the probability that half of 6 randomly sampled adults would indicate they talk on their cell phones while driving.
  5. A bakeshop sells twenty different kinds of pastry. Twelve of them are chocolate. Zack randomly buy eight kinds a party, what are the chances that four of them will be chocolate? Use the hypergeometric distribution.
  6.  Calculate the standard deviation (round to one decimal place) of the probability distribution shown here.

 

  1. Suppose that 40% of house hold use their cell phones for their home phone. If 12 house olds are randomly selected, what is the probability that at least three use their cell phones? Assume a binomial distribution applies.
  2.  Suppose that 25% of adults exercise regularly. If 11 adults randomly selected, what is the probability that four or less exercise regularly? Assume the binomial distribution applies.
  3.  A binomial distribution has n=10 trials with a probability if success of π=0.4. Calculate the mean of this binomial distribution.

 

  1. A grocer checks 200 apples and finds that 8 are spoiled. On average, how many apples are spoiled in a bag of ten? (hint: spoilage will follow a Poisson distribution, let n=10 and π is the empirical probability) 8/200=0.04*10=

 

  1. The dean’s secretary receives an average of 3 call per hour. Assuming the Poisson distribution applies what is the probability that the secretary will receive 6 calls next hour?
  2. A software salesman knows that on average he will make one sale for every ten companies he calls. Let “Success” be making a sale. (p(success)=0.10) Use binomial probability formula to find the chance that he will make 2 sales if he calls 6 companies.
  3. On average, 12 customers use the banks ATM during the noon lunch hour. What is the probability that exactly 10 customers will use the ATM during the next noon lunch hour.
  4.  A bowl contains two red and three black marbles. A marble is randomly selected, its color noted and returned to the bowl. Let “success” be selecting a red marble. Use binomial probability formula to find the chance of selecting three red marbles.

 

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