he table shows the probability distribution of the number of days (x) to complete a construction project by a contractor.   x f(x) 1 0.104 2   3 0.312 4 0.240 5 0.098 6 0.017   9 The standard deviation of the days to complete the project is ________.

x P(x) 0 0.2 1 0.05 2 0.2 3 0.55 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

Find the standard deviation. P(x) x*P(x) (x - )?P(x) 0.1 2(0.1) = 0.2 | (2 – 5.4)²(0.1) = 1.156 4 0.3 4(0.3) = 1.2 | (4 – 5.4)²(0.3) = 0.588 6 0.4 6(0.4) = 2.4 (6 – 5.4) (0.4) = 0.144 %3D 8 0.2 8(0.2) = 1.6 | (8 – 5.4)(0.2) = 1.352 %3D %3D Table 4.24

xx P(x)P(x) 0 0.15 1 0.05 2 0.2 3 0.6 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor.   x f(x) 1 0.104 2   3 0.312 4 0.240 5 0.098 6 0.017   12 If you doubled each number of days to completion in the Days (x) column, the expected value of days to completion will be _________.   a 5.795               b 6.100               c 6.421               d 6.759

The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.

a) A certain company sends 40% of its overnight mail parcels via express mail service E₁. Of these parcels, 2% arrive after the guaranteed delivery time( L - the event late delivery). If a record of overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via E, and was late? Suppose that 50% of the overnight parcels are sent via express mail E, and the remaining 10% are sent via E3 Of those sent via E₂, only 1% arrive late, whereas 5% of the parcels handled by E, arrive late. b) What is the probability that a randomly selected parcel arrived late? c) If a randomly selected parcel has arrived on time, what is the probability that it was not sent via E₁.