Question

In: Statistics and Probability

3. John is proofreading his own essay. From the past experience, he knows that the probability...

3. John is proofreading his own essay. From the past experience, he knows that the probability that any page contains at least one typo is equal to 0.7. The essay he is reading now is 20 pages long. What is the probability that this essay has no more than 15 typos? Assume Poisson distribution of the typos number in John’s essays.

Solutions

Expert Solution

by using R command we can find the probability

The command is

ppois(15, 1.204)=1


Related Solutions

4. From past experience, the owner of a restaurant knows that, on average, 5% of the...
4. From past experience, the owner of a restaurant knows that, on average, 5% of the groups that make reservations never show, and 7% of the groups that make reservations show up late (the other 88% percent show up on time). a) How many reservations can the owner accept and still be at least 80% sure that all parties that make a reservation will show? b) How many reservations can the owner accept and still be at least 90% sure...
John likes to run and plans to run a marathon on Sunday. He knows that his...
John likes to run and plans to run a marathon on Sunday. He knows that his friend Nigel will call him and invite him to go for a beer on Saturday night. John enjoys beer but knows if he takes a beer on Saturday he will not be able to perform so well in the marathon on Sunday. Suppose John would enjoy a utility of 5 on Saturday if he takes a beer, and 1 if he stays at home....
). A farmer knows from experience that his wheat harvest  Q (in                              bushel
). A farmer knows from experience that his wheat harvest  Q (in                              bushels) has the probability distribution given by:                                          Q = 150  with probability  0.30 ,                                               = 170    with probability  0.45,                                                =200    with probability  0.25;                       note that the probabilities add up to 1 as they are required by a probability                          distribution. Suppose the demand function he faces in the market place is given by:                                               p  =  320  -  0.5  Q                        where  p =  price in dollars per bushel. Let  R  = total revenue = p x Q. [Note: You may find it                       convenient to first derive...
A farmer knows from experience that his wheat harvest  Q (in                             bushels) has th
A farmer knows from experience that his wheat harvest  Q (in                             bushels) has the probability distribution given by:                                          Q = 150  with probability  0.30 ,                                               = 170    with probability  0.45,                                                =200    with probability  0.25;                       note that the probabilities add up to 1 as they are required by a probability                          distribution. Suppose the demand function he faces in the market place is given by:                                               p  =  320  -  0.5  Q                        where  p =  price in dollars per bushel. Let  R  = total revenue = p x Q. [Note: You may find it                       convenient to first derive the...
Tensing Palmo expects to receive $8,326 on his birthday 7 years from now. He knows he...
Tensing Palmo expects to receive $8,326 on his birthday 7 years from now. He knows he could earn 0.0583 on an investment for 7 years. The present value of this money is:
John knows that monthly demand for his product follows a normal distribution with a mean of...
John knows that monthly demand for his product follows a normal distribution with a mean of 2,500 units and a standard deviation of 425 units. Given this, please provide the following answers for John. a. What is the probability that in a given month demand is less than 3,000 units? b. What is the probability that in a given month demand is greater than 2,200 units? c. What is the probability that in a given month demand is between 2,200...
John knows that monthly demand for his product follows a normal distribution with a mean of...
John knows that monthly demand for his product follows a normal distribution with a mean of 2,500 units and a standard deviation of 425 units. Given this, please provide the following answers for John. a. What is the probability that in a given month demand is less than 3,000 units? b. What is the probability that in a given month demand is greater than 2,200 units? c. What is the probability that in a given month demand is between 2,200...
John Fillmore's lifelong dream is to own his own fishing boat to use in his retirement....
John Fillmore's lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $500,000. He estimates that the boat he wants will cost $400,000 when he retires in 5 years. How much of his inheritance must he invest at an annual rate of 10% (compounded annually) to buy the boat at retirement? On January 15, 2010, Dolan Corp. adopted a plan to accumulate funds for environmental improvements beginning July...
Abdul is making a map of his neighborhood. He knows the following information: His home, the...
Abdul is making a map of his neighborhood. He knows the following information: His home, the middle school, and high school are all on the same street. His home, the elementary school, and his friend's house are on the same street. The distance between home and the middle school and between home and the elementary school is 3 miles. The distance between the high school and the middle school and between his friend's house and the elementary school is 6...
A researcher knows from the past that the standard deviation of the time it takes to...
A researcher knows from the past that the standard deviation of the time it takes to inspect a car is 16.8 minutes. A random sample of 24 cars is selected and inspected. The standard deviation is 12.5 minutes. At a= 0.05, can it be concluded that the standard deviation has changed? Use the P-value method. Assume the variable is normally distributed.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT