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Chapter 4 Homework: Probability Concepts, Quizzes of Statistics

Chapter 4 Homework: Probability Concepts STA 220: Statistics (4224_J101)

Typology: Quizzes

2021/2022

Available from 08/31/2022

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STA 220: Statistics (4224_J101)
1. Question 1
1/1
A sample of 1200 college students was asked to classify their height as short,
average, or tall. The results of the survey are shown by gender in the contingency
table below. Use this table to answer problems 1 – 8.
One of the college students is selected at random. Events are defined as follows:
F={person is female}, M={person is male}, S={person is short}, A={person is
average}, T={person is tall}
What is P(F) ? Enter your answer as a decimal with 2 decimal places.
Your Answer:0.55
2. Question 2
1/1
What is P(T) ? Enter your answer as a decimal with 4 decimal places.
Your Answer:0.1125
3. Question 3
1/1
What is P(not F) ? Enter your answer as a decimal with 2 decimal places.
Your Answer:0.45
4. Question 4
1/1
What is P(F and T) ? Enter your answer as a decimal with 4 decimal places.
Your Answer:0.0525
5. Question 5
1/1
pf3
pf4

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STA 220: Statistics (4224_J101)

  1. Question 1 1/ A sample of 1200 college students was asked to classify their height as short, average, or tall. The results of the survey are shown by gender in the contingency table below. Use this table to answer problems 1 – 8. One of the college students is selected at random. Events are defined as follows: F={person is female}, M={person is male}, S={person is short}, A={person is average}, T={person is tall} What is P(F)? Enter your answer as a decimal with 2 decimal places. Your Answer: 0.
  2. Question 2 1/ What is P(T)? Enter your answer as a decimal with 4 decimal places. Your Answer: 0.
  3. Question 3 1/ What is P(not F)? Enter your answer as a decimal with 2 decimal places. Your Answer: 0.
  4. Question 4 1/ What is P(F and T)? Enter your answer as a decimal with 4 decimal places. Your Answer: 0.
  5. Question 5 1/

What is P(F or T)? Enter your answer as a decimal with 2 decimal places. Your Answer: 0.

  1. Question 6 1/ What is P(F | T)? Enter your answer as a decimal properly rounded to 4 decimal places. Your Answer: 0.
  2. Question 7 1/ Are events F and T mutually exclusive? Justify your answer. Answer -

No, events F and T can happen at the same time. A person can be

female and tall.

  1. Question 8 1/ Are events F and T independent? Justify your answer. answer
  2. No, events F and T can happen at the same time. A person can be female and tall.
  3. No, because P(F) is not equal to P(F | T). If a person is tall, this influences the chances that they are female.
  4. Yes, events F and T cannot happen at the same time. A person cannot be female and tall.
  1. Question 13 1/ You are ordering a sandwich at Hulk Hoagie’s restaurant. There are 3 choices of bread, 2 choices of cheese, and 5 choices of meat. How many unique sandwiches could you order with one type of bread, one type of cheese, and one type of meat? Enter your answer as a whole number, no units. Your Answer: 30
  2. Question 14 1/ There are 20 horses racing in the Kentucky Derby. How many ways can the top 3 horses finish? Enter your answer as a whole number, no units. Your Answer: 1,
  3. Question 15 1/ You are dealt a poker hand at random from a standard deck of 52 cards. How many unique 5-card hands are possible? Enter your answer as a whole number, no units. Your Answer: 2,598,