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What should be the value of a to make this continuous random variable X valid?
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- For a uniform random variable U∼U(7,24)U∼U(7,24), find the probability P(U>12)P(U>12): P(U>12)=P(U>12)= (Round the answer to 4 decimal places)If the random variable X as a mean of u and a variance of o2 what is the P((X-u)² < 20): O less that equal to 1/4 O greater than or equal to 3/4 cannot tell O equal to 5/4Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. How can we prove that 2X and 3Y are independent? What is the standard deviation of 2X + 3Y?
- Let X be a random variable and c be a constant. Then Var(X+c) = Var(X), always. True FalseThe time it takes me to wash the dishes is uniformly distributed between 12 minutes and 22 minutes.What is the probability that washing dishes tonight will take me between 19 and 21 minutes?Give your answer accurate to two decimal places.Let X and Y be independent exponential random variables with parameters 2 and 3. (a) What is the probability that X + Y > 1. (b) Conditional on X + Y = 1, what is the distribution of X.
- What is the sd of a random variable X with MGF 1 V(1–2t)Why is the probability that a continuous random variable equals a specific number zero? That is, why is P(X=b)=0 for any number b?The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 14 minutes.What is the probability that washing dishes tonight will take me between 8 and 12 minutes?Give your answer accurate to two decimal places.
- The time it takes me to ride my bike to school is uniformly distributed between 27 minutes and 36 minutes What is the probability that I can ride my bike to school in under 35 minutes? Give your answer accurate to two decimal places.Give neat and clean explanation Don't copy from available solutions, I will rate your answer good
