Probability And Statistics BY BREENA DARCY QUESTIONS 1
Probability And Statistics BY BREENA DARCY
QUESTIONS 1 -6
#1 • • • Substitute 2 for n into (n + 2)/2: (n + 2)/2 (2 + 2)/2 4/2 Answer G is the correct rule
#2 • • Testing n = 4 (2 n - 3)/2 = (5/2) (2(4) - 3)/2 = (5/2) (8 - 3)/2 = (5/2) = (5/2) TRUE (2 n - 3)/2 is the missing rule.
#3 • Checking Answer H • All of the grades are correctly plotted on the scattergram.
#4 • • Trying Answer G Substitute 1 for t into p = 8 t + 12. The result should be 20: p = 8 t + 12 20 = 8(1) + 12 20 = 8 + 12 20 = 20 True
#5 • Assuming there is nothing 'funny' with the coin, there is always a 50% chance that it will land heads-up and a 50% chance that it will land headsdown. The coin has no memory. It has no idea that it landed heads-up 6 out of the last 10 times. It doesn't care that it landed heads-up 6 out of the last 10 times. On this toss, the odds are one out of two that it will land heads-up. On the next toss, the odds will still be one out of two that it will land heads-up. On any particular toss, the odds are always one out of two that it will land heads-up. Now, this isn't the same as asking the odds of a coin landing heads-up 6 out of 10 times or landing head-up ten times in a row. Those are different problems and is not what is being asked. • On any particular toss, the odds that a coin will land heads-up are 1 out of 2.
#6 • We need to convert the sentence "Elizabeth drove 432 miles on the second day of a trip, which was 17 miles more than five times as far as she drove on the first day" into an equation. The phrase "five times as far as she drove on the first day" can be rewritten as "5 x" if x represents the distance she drove on the first day. The phrase "17 miles more than five times as far as she drove on the first day" can be rewritten as "17 + 5 x". The full equation becomes: • • 432 = 17 + 5 x We can now solve the equation for x: 432 = 17 + 5 x 432 - 17 = 5 x 415/5 = (5/5)x 83 = x If Elizabeth drove 432 miles on the second day of a trip, which was 17 miles more than five times as far as she drove on the first day, then she drove 83 miles on the first day of the trip.
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