Question

In: Statistics and Probability

3. The Indian cricket team is visiting New Zealand to play a test series comprising five...

3. The Indian cricket team is visiting New Zealand to play a test series comprising five matches. In each match, assume that the Indian team has a 70% chance of winning. Further, assuming that the matches are independent of each other, what is the probability that:

a. The Indian team will win the series?

b. The team will win all five matches, and that the team will lose all?

Expert Solution

Solution: We are given:

Let x be the number of matches won by the Indian team

a. The Indian team will win the series?

Answer: The Indian team will win the series only if they win three or more matches. Therefore, we have to find:

Using the binomial probability distribution, we have:

Therefore, the Indian team will win the series is 0.8369

b. The team will win all five matches, and that the team will lose all?

The probability that the Indian team will win all five matches is:

Therefore, the probability that the Indian team will win all five matches is 0.1681

The probability that the Indian team will lose all five matches is:

Therefore, the probability that the Indian team will lose all five matches is 0.0024

orchestra answered 2 years ago

Two team (A and B) play a series of baseball games. The team who wins three...

Two team (A and B) play a series of baseball games. The team who wins three games of five-game-series wins the series. Consider A has home-field advantage (0.7 means A has probability of winning 0.7 if it plays in its field) and opponent-field disadvantage (0.2 means A has probability of winning 0.2 if it plays in opponents field). If the series start on A team’s field and played alternately between A and B team’s fields, find the probability that series...

describe and discuss the cultures that play a significant role in the New Zealand and how...

describe and discuss the cultures that play a significant role in the New Zealand and how these cultures impact international business

1. The New Zealand Ministry of Education recently required that high schools must hire five additional...

1. The New Zealand Ministry of Education recently required that high schools must hire five additional teachers with Master’s degrees in Mathematics. a. It will take a few months to initiate the hiring process. Discuss the immediate effect on the salaries of teachers with Master’s degrees in Mathematics? Illustrate graphically the effects on the market for Master’s degree mathematic teachers in the short-run. b. What will be the effect after five years? Discuss and illustrate graphically the effects on the...

The New Zealand Ministry of Education recently required that high schools must hire five additional teachers...

The New Zealand Ministry of Education recently required that high schools must hire five additional teachers with Master’s degrees in Mathematics. a. (10 points) It will take a few months to initiate the hiring process. Discuss the immediate effect on the salaries of teachers with Master’s degrees in Mathematics? Illustrate graphically the effects on the market for Master’s degree mathematic teachers in the short-run. b. (10 points) What will be the effect after five years? Discuss and illustrate graphically the...

Design a Study to Test one of the following: Scenario 3: Anxiety and depression play a...

Design a Study to Test one of the following: Scenario 3: Anxiety and depression play a role in the speed and quality of recovery from illness. Past research indicates that owning and caring for a pet may counter symptoms of anxiety and depression. There are numerous types of therapy available to ill patients but is owning a pet also a viable treatment for relieving anxious and depressive symptoms? Clearly identify the scenario you chose. In your response, clearly identify your...

You are a member of the chargemaster maintenance team. Identify five new CPT codes that were...

You are a member of the chargemaster maintenance team. Identify five new CPT codes that were recently added or that will be added for the upcoming calendar year. Create a workflow to ensure that all data elements required in the CDM are identified, verified and signed off on for inclusion in the CDM.

The Fab Five are planning on launching a new Netflix series. But which one? Antoni could...

The Fab Five are planning on launching a new Netflix series. But which one? Antoni could lead a sizzling cooking show which would cost $450,000 to shoot, but is guaranteed to earn $200,000 for the first year, then $100,000 for 3 more years, and finally $50,000 in its fifth year. Jonathan could just sit in front of the camera and be great for $100,000 to shoot, but he’d only earn cash flows of $25,000 for the next 7 years. There...

3. Armani plans to launch a new series of 3 suits called the Chester, Briarcliff, and...

3. Armani plans to launch a new series of 3 suits called the Chester, Briarcliff, and Stonebridge (C, B, and S). Each suit is made of a different material. The prices of the suits are $1400, $1100 and $700 respectively. The cost of the materials and unit production costs were $400, $300, and $200. The design cost for the series was $3M and promotional spending was $4M. Assuming that the sales mix for the three suits will be 2:3:5 respectively,...

Question 3 The sales and finance team of a car company is evaluating a new proposed...

Question 3 The sales and finance team of a car company is evaluating a new proposed luxury model of its brand that will require an investment of $1Billion in a new machine for car interior decoration. Demand for the company’s car is expected to begin at 100,000 units in year 1, with 10% annual growth thereafter. Production cost will be $35,000 per unit in the first year, and increase by a rate of either 3% or 5% per year as...

In a test of a new surgical procedure, the five most respected surgeons in FlatBroke Township...

In a test of a new surgical procedure, the five most respected surgeons in FlatBroke Township were invited to Carver Hospital. Each surgeon was assigned two patients of the same age, gender, and overall health. One patient was operated upon in the old way, and the other in the new way. Both procedures are considered equally safe. The surgery times are shown below: Surgeon Allen Bob Chloe Daphne Edgar Old way 36 55 28 40 62 New way 31 45...