You flip a coin 10 times and it comes up heads 5

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You flip a coin 10 times, and it comes up heads 5 times out of the 10. The probability of a coin coming up heads is 0.5 on each attempt, so why isn't the number of heads = 5 exactly? Question 3 options: a) The probabilities are only exact in the long run, not in small samples. b) The number of flips is even, not odd. c) Not all coins are fair, and so don't flip heads with exactly 0.5 probability.
Consider two normal distributions, one with mean 5 and standard deviation 8, the other with mean 2 and standard deviation 8. Question 4 options: a) The two distributions have the same shape/spread.
b) The two distributions are centered at the same place.
Question 5 options: The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 5. Assume that the distribution is approximately normal.
a) Which graph shows the area defining the probability of an elite athlete having an oxygen uptake lower than 60 ml/kg?
(b) What is the probability of that outcome? Use R for the calculation, and give at least 3 digits after the decimal.
Save Previous PageNext Page Question 6 options: Determine the size of the sample space that corresponds to the experiment of tossing a coin the following number of times: Note that you can express exponents like 5 3 by typing "5^3". (a) 2 times
Question 7 options: One die is rolled. List the states/outcomes comprising the following events.
E.g. For "Event that the roll is 5 or higher", you would enter: {5,6} (a) event the die comes up 4 or more (b) event the die comes up 3 (c) event the die comes up odd
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