Chapter 5 Homework Discrete Random Variables, Quizzes of Statistics

Chapter 5 Homework Discrete Random Variables STA 220: Statistics (4224_J101)

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2021/2022

Available from 09/25/2022

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Chapter 5 Homework: Discrete Random Variables
1. Question 1
1/1
Which of the following properties must be satisfied in order for a discrete probability
distribution to be valid? Check all that apply:
Hide answer choices
1.
Potential values can be listed.
2.
Potential values form an interval of numbers.
3.
4. x=1
2. Question 2
1/1
Let X = the number of roommates for a randomly selected college student. Find the
missing probability in the table. Enter your answer as a decimal with two decimal
places.
Your Answer:0.05
3. Question 3
1/1
Suppose you roll two 6-sided dice. Let X = the number of sixes. Use this
information to construct a probability distribution for questions 3, 4, and 5.
pf3
pf4

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Chapter 5 Homework: Discrete Random Variables

  1. Question 1 1/ Which of the following properties must be satisfied in order for a discrete probability distribution to be valid? Check all that apply: Hide answer choices
  2. Potential values can be listed.
  3. Potential values form an interval of numbers.
  4. x=
  5. Question 2 1/ Let X = the number of roommates for a randomly selected college student. Find the missing probability in the table. Enter your answer as a decimal with two decimal places. Your Answer: 0.
  6. Question 3 1/ Suppose you roll two 6-sided dice. Let X = the number of sixes. Use this information to construct a probability distribution for questions 3, 4, and 5.

What is P(X=0)? Enter your answer as a decimal with four decimal places. Your Answer: 0.

  1. Question 4 1/ What is P(X=1)? Enter your answer as a decimal with four decimal places. Your Answer: 0.
  2. Question 5 1/ What is P(X=2)? Enter your answer as a decimal with four decimal places. Your Answer: 0.
  3. Question 6 1/ An insurance company offers a car insurance policy that pays a set amount of money depending on the level of damage to the car, as shown in the table below. Let X = the amount of money the insurance company must pay to a randomly selected customer. Calculate the expected value of X. Enter your answer as a whole number with no units. Your Answer: 1,
  4. Question 7 1/ Interpret the expected value from Problem 6. Answer - If the insurance company sells many of these insurance policies, they can expect to pay about $1,900 per customer on average.
  5. Question 8 1/

Your Answer: 0.

  1. Question 11 1/ Find P(X = 60). Enter your answer as a decimal with four decimal places. Your Answer: 0.
  2. Question 12 1/ Find P(X ≤ 54). Enter your answer as a decimal with four decimal places. Your Answer: 0.
  3. Question 13 1/ Find P(50 < X ≤ 60). Enter your answer as a decimal with four decimal places. Your Answer: 0.
  4. Question 14 1/ Find the expected value of X. Include one decimal place in your answer, no units. Your Answer: 55.
  5. Question 15 1/ Find the standard deviation of X. Include four decimal places in your answer, no units. Your Answer: 4.