The life expectancy of a smartphone's battery X in days is a continuous random variable with probability density function fx=6x1-x for 0 ≤ q x ≤ q 1. Find the probability that a smartphone chosen at random will have a life expectancy exceeding 12 hours.
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The life expectancy of a smartphone's battery X in days is a continuous random variable with probability density
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- Let S be a continuous random variable representing the students' study time (in hours) for their Statistics final paper. The probability density function is given by: = {(2 + + 5 4s 15 f(s) = i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S - 6S²). ,1 ≤s≤4 , otherwiseA Bus driver proposed a snow day with the distribution below, where x is defined to be the number of days that classes are canceled per week for a week where multiple storms are for cast. He proposes the probability mass function P(x) = 5/5 for x = 1,2,3,4,5 a) Show that the pmf is well defined b) Determine Mx, also called the expected value of x. Interpret the result and explain if the value for Mx makes sense.Explain joint probability density function of the continuous random variables X and Y.
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