13 Aug Unit 2 Complete For the Week 2 Complete assignment, solve each problem and answer each question that corresponds with it. Explain how you arrived at the answer for each problem. The total word count for your assignment should be a minimum of 1200 words, not including questions and references. (Reminder: Need a bare minimum of three sources for the reference page) Textbook(s) Donnelly, R. A. (2020). Business statistics (3rd ed.). Pearson. 1. Identify which of the following values are valid and not valid numbers for a probability: a. 2.1 [Answer: __________] b. 4/4 [Answer: __________] c. 76% [Answer: __________] d. 0.8 [Answer: __________] e. 9/8 [Answer: __________] f. 110% [Answer: __________] g. –1/3 [Answer: __________] h. 1 [Answer: __________] i. 0.007 [Answer: __________] 2. Consider the experiment of rolling two dice. a. What is the probability of obtaining a sum of eight? b. What is the probability of obtaining a sum of eight or less? c. What is the probability of obtaining a sum of four or more? 3. A survey was conducted in which 150 households were asked how many working televisions they owned. The results are as follows: Table Description automatically generated a. What is the probability that a randomly selected household has one television? b. What is the probability that a randomly selected household has more than two televisions? c. What is the probability that a randomly selected household has fewer than four televisions? d. Is this an example of classical, empirical, or subjective probability? 4. The following table indicates the frequency of laptops sold per day at a local Best Buy store during a particular time period. During the period, there were never any days in which more than seven laptops were sold. Table Description automatically generated a. What is the probability that three laptops will be sold tomorrow? b. What is the probability that four or more laptops will be sold tomorrow? c. What is the probability that either one or two laptops will be sold tomorrow? d. What is the probability that fewer than two laptops will be sold tomorrow? e. Is this an example of classical, empirical, or subjective probability? 5. Consider the following experiment—a card is chosen randomly from a 52-card deck, observed, and then replaced. After shuffling the deck, a second card is drawn and observed. Consider the following events: A = The first card is the jack of diamonds B = The second card is the jack of diamonds a. Are these two events mutually exclusive? b. Are these two events independent?

C problem and answer each question that corresponds with it. Explain how you arrived at the answer for each problem. The total word count for your assignment should be a minimum of 1200 words, not including questions and references. (Reminder: Need a bare minimum of three sources for the reference page)

Textbook(s) Donnelly, R. A. (2020). Business statistics (3rd ed.). Pearson.

1. Identify which of the following values are valid and not valid numbers for a probability:

a. 2.1 [Answer: __________]

b. 4/4 [Answer: __________]

c. 76% [Answer: __________]

d. 0.8 [Answer: __________]

e. 9/8 [Answer: __________]

f. 110% [Answer: __________]

g. –1/3 [Answer: __________]

h. 1 [Answer: __________]

i. 0.007 [Answer: __________]

2. Consider the experiment of rolling two dice.      a. What is the probability of obtaining a sum of eight?      b. What is the probability of obtaining a sum of eight or less?      c. What is the probability of obtaining a sum of four or more?

3. A survey was conducted in which 150 households were asked how many working televisions they owned. The results are as follows:

     a. What is the probability that a randomly selected household has one television?      b. What is the probability that a randomly selected household has more than two televisions?      c. What is the probability that a randomly selected household has fewer than four televisions?      d. Is this an example of classical, empirical, or subjective probability?

4. The following table indicates the frequency of laptops sold per day at a local Best Buy store during a particular time period. During the period, there were never any days in which more than seven laptops were sold.

     a. What is the probability that three laptops will be sold tomorrow?      b. What is the probability that four or more laptops will be sold tomorrow?      c. What is the probability that either one or two laptops will be sold tomorrow?      d. What is the probability that fewer than two laptops will be sold tomorrow?      e. Is this an example of classical, empirical, or subjective probability?

5. Consider the following experiment—a card is chosen randomly from a 52-card deck, observed, and then replaced. After shuffling the deck, a second card is drawn and observed. Consider the following events: A = The first card is the jack of diamonds B = The second card is the jack of diamonds      a. Are these two events mutually exclusive?      b. Are these two events independent?