lex x be a random variable Xe P(x) = xex if x≥0 0 if x
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- If x is a random variable that has a uniform distribution in the interval [1,7].[1,7]. What is the probability of the random variable x taking on values greater than 4?Coin A has a probability of head equal to 1/4 and probability of tail equal to 3/4 and coin B is a fair coin. Each coin is flipped four times. Let the random variable X denote the number of heads resulting from coin A and Y denote the resulting number of heads from coin B. (a) What is the probability that X = Y = 2 ? (b) What is the probability that X = Y ? (c) What is the probability that X > Y? (d) What is the probability that X + Y< 5?Suppose that a number is randomly chosen from the interval (-6,6). What is the probability that |x+4|<1? ROUND OFF your answer in DECIMAL FORM (4 decimal places)
- What is the probability that X equal 2?Q4/A/ The probability that a regulary seheđuted flight departs on time is 0.83, the probability that it arrives on time is 0.92 and the probability that it departs and arrives on time is 0.78 . Find the probability that a plane (1) arrives on time given that it departed on time. (2) departed on time given that it has arrived on time.Q/C/ If the disjoint events A and B such that P(B)=1/3 , then the value of P(Bn A) is------.
- For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfishPlease solv within 30min (a) 0.1008 0.0010 0.8008 0.3193 (b) 0.1008 0.0010 0.8008 0.3193