Question: Suppose that X is a normally distributed random variable, with mean 10 and standard deviation 2. What is the probability that X takes a value

Suppose that X is a normally distributed random variable, with mean 10 and standard deviation 2. What is the probability that X takes a value between 7.5 and 10.8? O 0.6554 O 0.3446 O 0.3262 O 0.5498 Suppose that X is a normally distributed random variable, with mean 10 and standard deviation 2. What is the probability that X has a value smaller than 7.5? O 0.5000 O .6219 O . 1056 O .8943 Assume that the labor force participation rate is 0.6 (that is, the fraction of the population in the labor force is 0.6). An individual is randomly sampled from the population and in our dataset we record in a variable X whether s/he is in the labor force or not. If s/he is in the labor force, we record a value of 1; if s/he is not, we record a value of 0. What is the expected value of X? (Enter two decimals in your answer). (Hint: what type of random variable is this?) Assume that the labor force participation rate is 0.62 (that is, the fraction of the population in the labor force is 0.62). An individual is randomly sampled from the population and in our dataset we record in a variable X whether s/he is in the labor force or not. If she is in the labor force, we record a value of 1; if s/he is not, we record a value of 0. What is the standard deviation of X? (Enter two decimals in your answer). (Hint: what type of random variable is this? Use the relevant formula for the standard deviation of this random variable.)

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