Question

In: Statistics and Probability

4. Emily likes bird watching. Every year she takes a vacation to a park famous for...

4. Emily likes bird watching. Every year she takes a vacation to a park famous for

its rare birds. She goes there for 10 days. From her past experience, she knows that on

average she can get 6 good sightings a day. A very good day for her is a day with at least

10 good sightings. Assume Poisson distribution of the number of good sightings on any day

(independently of other days).

a) What is the probability that she can get at least one very good day this time?

b) What is the expected number of very good days during this vacation?

c) What is the expected number of days she has to go bird watching in this park before

getting one very good day?

d) Extra credit: What should the average number of good sightings per day be so that

the probability that she gets at least one very good day during this vacation be at least 0.9?

Solutions

Expert Solution


orchestra answered 1 year ago
Next > < Previous

Related Solutions

1. Emily, Car, Stock Market, Sweepstakes, Vacation and Bayes. Emily is taking Bayesian Analysis course. She...
1. Emily, Car, Stock Market, Sweepstakes, Vacation and Bayes. Emily is taking Bayesian Analysis course. She believes she will get an A with probability 0.6, a B with probability 0.3, and a C or less with probability 0.1. At the end of semester, she will get a car as a present form her uncle depending on her class performance. For getting an A in the course Emily will get a car with probability 0.8, for B with probability 0.5, and...
Every year, Jessica Gomez, CEO of Logan Construction Company, takes a two week vacation to Barbados...
Every year, Jessica Gomez, CEO of Logan Construction Company, takes a two week vacation to Barbados and signs multiple blank checks to pay for any major bills that come due while she is away. Jessica's vacation occurs towards the end of Logan's fiscal year. Carl Johnson, controller for the company, uses this practice for his gain. He identifies a very large invoice from a vendor, makes out a check to himself for that amount, and records it as a payment...
Every year, Jessica Gomez, CEO of Logan Construction Company, takes a two week vacation to Barbados...
Every year, Jessica Gomez, CEO of Logan Construction Company, takes a two week vacation to Barbados and signs multiple blank checks to pay for any major bills that come due while she is away. Jessica's vacation occurs towards the end of Logan's fiscal year. Carl Johnson, controller for the company, uses this practice for his gain. He identifies a very large invoice from a vendor, makes out a check to himself for that amount, and records it as a payment...
Emma has noticed a small red fox living in the park near her apartment. She takes...
Emma has noticed a small red fox living in the park near her apartment. She takes a walk at the same time every day and has observed the fox in three different areas: in the woods, in the meadow, and by the pond. If it is in the woods on one observation, then it is twice as likely to be in the woods as in the meadow on the next observation but not by the pond. If it is in...
You are watching your niece who is almost a year old and notice that she is...
You are watching your niece who is almost a year old and notice that she is unconscious on the floor with marbles around her. Breaths don’t go in.
Lorena likes to play golf. The number of times per year that she plays depends on...
Lorena likes to play golf. The number of times per year that she plays depends on both the price of playing a round of golf as well as Lorena’s income and the cost of other types of entertainment—in particular, how much it costs to go see a movie instead of playing golf. The three demand schedules in the table below show how many rounds of golf per year Lorena will demand at each price under three different scenarios. In scenario...
Lorena likes to play golf. The number of times per year that she plays depends on...
Lorena likes to play golf. The number of times per year that she plays depends on both the price of playing a round of golf as well as Lorena’s income and the cost of other types of entertainment—in particular, how much it costs to go see a movie instead of playing golf. The three demand schedules in the table below show how many rounds of golf per year Lorena will demand at each price under three different scenarios. In scenario...
Tom is a 36 year-old businessman that likes to compete in outdoor, high-intensity fitness events every...
Tom is a 36 year-old businessman that likes to compete in outdoor, high-intensity fitness events every few months. Between the events, he performs workouts with a mix of strength and cardiovascular training 4-5 days per week. Tom recently went to a physical therapist because he was experiencing discomfort in both knees when he ran or performed lunges and squats. The physical therapist discovered weakness in his hips' abductors and external rotators. The physical therapist discharged Tom and sent him to...
SuperSportsGames is a famous sport competition, held in Riyadh every year. Since its first edition in...
SuperSportsGames is a famous sport competition, held in Riyadh every year. Since its first edition in 2001, it has gone through several major changes regarding its structure, length and location, but the tickets have always been sold in a traditional way: through two events agencies. The organizers decided to completely modernize the tickets selling system and created the following concept. From this year on, the tickets will be sold in three distinct ways: traditionally, i.e. by the two events agencies,...
A mother confides that she thinks her 8-year-old is going to be homosexual because he likes...
A mother confides that she thinks her 8-year-old is going to be homosexual because he likes playing with dolls. What topics do you need to explore? How would you educate a mother who believes that homosexuality is a disease and can be changed?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT