1. A very talented seamstress opened an online shop selling high-end costumes an

Question

1. A very talented seamstress opened an online shop selling high-end costumes and clothing of her own design. Only people that have registered for the shop can view items. Currently, she has 200 people registered. The number of people who view her online shop is random. What are the outcomes of this random variable?

a) The set of all numbers (even fractions) between 0 and 200, inclusive

b) The set of all integers between 0 and 200, inclusive

c) 200

d) The empty set --there are no possible outcomes

*Please explain your answer.

2. A very talented seamstress opened an online shop selling high-end costumes ad clothing of her own design. Only people that have registered for the shop can view items. Currently, she has 200 people registered. The number of people who view her online shop is random. One day, she had 120 people view the site. "120 people" is an example of what (with respect to the random variable)? Select all that apply:

a) An outcome

b) An event

c) A probability

d) Nothing

3. A very talented seamstress opened an online shop selling high-end costumes ad clothing of her own design. Only people that have registered for the shop can view items. Currently, she has 200 people registered. The number of people who view her online shop is random. Which of the following are events? Select all that apply:

a) More than 100 people visited her shop

b) 10 people visited her shop

c) Between 5 and 15 people visited her ship

d) Nobody visited her shop

4. A very talented seamstress opened an online shop selling high-end costumes ad clothing of her own design. Only people that have registered for the shop can view items. Currently, she has 200 people registered. The number of people who view her online shop is random. The non-negative numbers assined to the occurence of each event all add up to 1 and are called:

a) Outcomes

b) Events

c) Probabilities

d) Nothing

5. Carlton is playing a coin toss game in which he tries to guess as many correct outcomes as possible out of 5 tosses of the coin. He decides to guess "heads" for every toss of the coin. Is Carlton's decision an optimal decision?

a) Yes

b) No

Explanation / Answer

1. We need to find the possible outcomes and it is given that 200 people has been registered in the shop. Hence,

The number of people who view her online shop can vary starting from 0 to maximum of 200. Therefore,

Possible outcomes will be the set of integers from 0 to 200, inclusive.

Option B is correct.

2. An outcome and an event; Option A and Option B are correct.

3. All a, b, c and d are events.

4. Probabilities; Option C is correct.

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