Probability & Sampling

Which of these situations best represents the use of convenience sampling?    

• Joey surveyed children, from ages 6 to 10, at several parks to find out which activity was their favorite.    
• Joey surveyed the students in his class to find out which ice cream was their favorite.    

You pick a card from a deck.  If you get a face card, you win $5.  If you get an ace, you win $30 plus an extra $60 for the ace of hearts.  For any other card you win nothing. Find the expected value you will win.

• $5.00
• $3.85
• $4.04
• $4.62

A card is randomly drawn from a deck of ordinary playing cards.  You win $10 if the card is a spade or an ace.  What is the probability that you will win the game?

• 1/13
• 4/13
• 17/52
• 13/52

A coin is tossed three times.  What is the probability that it lands on heads exactly one time?

• 0.125
• 0.250
• 0.333
• 0.375

An auto analyst is conducting a satisfaction survey, sampling from a list of 10,000 new car buyers.  The list includes 2,500 Ford buyers, 2,500 Honda buyers, 2,500 GM buyers, and 2,500 Toyota buyers.  The analyst selects a sample of 400 car buyers, by randomly sampling 100 buyers of each brand.  Is this an example of simple random sampling?

• Yes, because each buyer in the sample was randomly sampled.
• Yes, because each buyer in the sample had an equal chance of being sampled.
• No, because every possible 400-buyer sample did not have an equal chance of being chosen.
• No, because the population consisted of purchasers of four different brands of car.