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- 1. Multiple ChoiceWhich of the following random variables is NOT continuous?Amount of gasoline in a car.Time it takes to commute to work.Number of goals scored by a hockey team.Lifetime of a AAA battery.
- 2. Multiple Choice
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction?246.57 - 3. Multiple ChoiceFind the value of k11/21/91/10
- 4. Multiple ChoiceFind P(X ≤ 3)1/41/31/51/9
- 5. Multiple ChoiceSeparate; write as multiple logs: log (m2q4 / 3)log m2 + log q4 - log 32 log m + 4 log q - log 32 log m * 4 log q / log 3log m * log 2 + log q * log 4 - log 3
- 6. Multiple ChoiceWhich graph shows the derivative of the top function?ABCD
- 7. Multiple ChoiceFind P(X < 2/3)32/924/2732/8117/9
- 8. Multiple ChoiceWhich graph shows the derivative of the top function?AB
- 9. Multiple ChoiceFind the derivative of f(x) = x2sinxf'(x) = 2xsinx - x2cosxf'(x) = 2xsinx + x2sinxf'(x) = 2xsinx + x2cosxf'(x) = 2xcosx
- 10. Multiple Choice
Is this a valid probability distribution?
Days Probability
0 | 0.68
1 | 0.05
2 | 0.07
3 | 0.08
4 | 0.05
5 | 0.04
6 | 0.01
7 | 0.02
Yes, because the probabilities add to 1 and are each between 0 and 1.
No, because the probabilities add to 1 and are each between 0 and 1.
Yes, because the probabilities do not add to 1 and are each between 0 and 1.
No, because the probabilities do not add to 1 and are each between 0 and 1.
- 11. Multiple ChoiceWhat is the difference between a discrete random variable and a continuous random variable?A discrete random variable takes all values in an interval of numbers while a continuous random variable has a fixed set of possible values with gaps between.A discrete random variable has a fixed set of possible values with gaps between while a continuous random variable takes all values in an interval of numbers.A discrete random variable takes only negative numbers while a continuous random variable takes both positive and negative numbers.A discrete random variable takes both positive and negative numbers while a continuous random takes only negative numbers.
- 12. Multiple ChoiceIs this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 10 times. Let X = the number of aces you observe.YesNo, the trials are not independent.No, there are more than 2 outcomes
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