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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 0.4. Calculate the variance for this distribution.

- The Binomial Probability formula is P(x)=
_{n}C_{x}π^{x}(1-π)^{n-x }Match the Variable from the formula to its description. - 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?
- Which of the following statements best describes a Probability Distribution?
- Which of the following is a possible probability distribution?
- Place the following
- 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.
- Choose the two random variables from this list that are continuous.
- 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

- A random variable can be defined as:
- Choose the random variable from this set that are discrete. Select all that apply.
- Which of the following formulas is the easiest way to calculate the mean of a binomial distribution?
- Which of the following formulas is the easiest way to calculate the variance of a binomial distribution?
- Which of the following statements describes the Poisson Distribution? Select all that apply.
- 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. - The formula for the Poisson Distribution is . Match the variables.
- Choose the random variables from this set that are discrete. Select all that apply.
- Which of the following statements describes the relationship between Poisson distribution and the binomial distribution?
- Calculate the mean for the probability distribution shown here.

- Is it easier to use a binomial probability table instead of calculating the probability under what circumstances?
- When can a binomial distribution be used as a good approximation to hypergeometric distribution?
- What is a Discrete Random Variable?
- 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.
- 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.
- Calculate the standard deviation (round to one decimal place) of the probability distribution shown here.

- 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.
- 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
**.** - A binomial distribution has n=10 trials with a probability if success of π=0.4. Calculate the mean of this binomial distribution.

- 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=

- 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?
- 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.
- 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.
- 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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