Question: Please answer all these and show all work. Thank you In 2 sentences, define each of the following terms and provide an example: Bias Odds
Please answer all these and show all work. Thank you In 2 sentences, define each of the following terms and provide an example:
- Bias
- Odds
- Favourable outcome
- Data
- Describe in words (do not list all elements) the sample space of each experiment, find how many elements it contains, and state one of the elements:
- Drawing two cards from a deck without replacement.
- Drawing three cards from a deck with replacement.
- Rolling a 6-sided die, then flipping that many coins.
- Find the theoretical probability of:
- Drawing a red ace or a heart from a regular deck of cards.
- When guessing the birthdays of two friends, getting exactly one right, if you know the first friend was born in a leap year and the second friend wasn't. Assume birthdays are evenly distributed through the year.
- Being dealt at least 4 hearts in a hand of 5 cards dealt from a regular deck.
- When selecting 3 cards from a regular deck without replacement, having the 3rd card be the second spade drawn.
- Manpreet and her friends meet every Thursday night to play a different sport. When they play basketball, she has a 75% chance of being on the winning team. Considering their game next week, if there is a 40% chance they will play basketball then what are the odds in favour of Manpreet being on the winning team of a basketball game?
- A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck.
- How many cards are in this deck?
- Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club?
- When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)?
- If you roll a 6-sided die 5 times and get the result "1, 1, 1, 1, 1" can you conclude whether the die is "fair" or not? Explain.
- In the field of statistics, give an example of:
- A discrete variable.
- A continuous variable.
- A qualitative variable.
- Is it ever ethical to add bias to a statistical study? In a paragraph, why or why not?
- You are conducting a statistical survey of library users. There are approximately 2500 people in the population (library patrons in a month), and you have a full list of their names, phone numbers, addresses, time & date of last visit, and any other reasonable information. If you want to create and survey a fair sample of 25 people, describe how you could do so using the following techniques. Be sure to include how you would contact your subjects.
- Simple random sampling
- Systematic random sampling
- Stratified random sampling
- Cluster random sampling
- Multistage random sampling
- A supermarket conducted a survey of 1000 consumers. Their population was "adults who shop for groceries." Use specific examples to explain how the following biases could have had the following effects:
- How could sampling bias have made it seem like adults eat more bread than in reality?
- How could non-response bias have made it seem like adults eat less fruit than in reality?
- How could response bias have made it seem like adults eat more vegetables than in reality?
- How could measurement bias have made it seem like adults drink more coffee than in reality? 11. In a recent survey of a fair stratified random sample of the population, a question appeared as: Do you plan to vote in favour of the speed limit change? Yes/No A scientist found the following number of responses per stratum:
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