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- Suppose that Y is an exponential random variable with λ = 4. Find. P[Y > (E(Y) + 2√√Var(Y))] . (round to 4 decimal points)Don't Hand writing in solution.residence), the average 220V is measured and the standard deviation is co ated as 4V. What is the least probability that the voltage of a randomly selected When the phase-neutral voltage value of the consumers fed from a transformer is measured from the vault point (you can assume the entry point to the consumer is between 202V and 232V? G0 100555- g160100555870479447 B A 60 100555- 14/25 3/4 60100555-987047 g160100555 - 9870479447 15/16 g160 0555 -987 8/9 60100555- g160100555 - 9870479447 TO 12/13 60100555-987047 g160100555 -987047944 g160100555 - 9870479447 g160100555 - 987047944 60100555-987047 g160100555 - 9870479447 g160100555 -987047944 60100555-9870475 g160100555 - 9870479447 g160100555 -987047944 60100555-9 g160100555 - 987047944 g160100555 - 987047944 g160100555 - 9 g160100555 987047944 g160100555 - 9
- Your internal body temperature T in °F is a Gaussian (μ =98.6, σ = 0.4) random variable. In terms of the Φ function, find P[T > 100]. Does this model seem reasonable?R1X-X Z= Z-score: Variance: σ ²=Σ(x-4)²P For questions 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 1 2 3 4 5 X 3 4 5 6 7 P(x) 0.3 0.2 0.1 0.3 0.1 P(x) 0.1 0.2 0.3 0.15 0.25 1 2 Find E(X) for the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 0 2 4 6 8 X 1 4 5 6 8 P(x) 0.1 0.1 0.1 0.2 0.5 P(x) 0.2 0.2 0.2 0.3 0.1 3
- Two coins are taken at random (without replacement) from a bag containing 6 nickels, 5 dimes, and 4 quarters. Let X denote the random variable given by the total value of the two coins. Find E(X). (Round your answer to four decimal places.)Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Σχ - 64.2; Σ ? = 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77 6.2 8.6 7.0 7.5 8.3 6.9 10.0 9.7 y 9.7 10.3 10.9 11.5 14.2 7.0 14.6 12.2 Find the equation of the least-squares line. (Round your answers to three decimal places.) Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.) r = 2 = If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y = Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit mg/10 ml upper limit mg/10 ml Use level of significance 1% and test the claim that the…Assume that the probability of a being born with Genetic Condition B is p=11/60. A study looks at a random sample of 1443 volunteers.Let X represent the number of volunteers (out of 1443) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =
- TF.9 Let Z be a standard normal random variable. Find... a) P(-1.35 ≤ Z ≤ 2.48) b) the value of z so that P(Z ≥ z) = .1230Linearity of expectations. A class with 11 third graders and 9 fourth graders are lined up in a random order for recess. T is the random variable which is equal to the number of 3rd graders in the first 3 places of the line. What is the expected value of T? E[T] = Ex: 1.23Let X be the total amount saved in dollars at the cash register. The pdf of X is given by: Value of X 20 28 40 50 58 70 probability 0.36 0.21 0.24 0.1225 0.0175 0.03 .0175 0.0025 Before I make the purchase, you would place my chance of saving $20 at 24%. Suppose you approach me after I pay for my items and ask: "Did you save any money?" If I answer "no", then you know I didn't save $20 and thus the chance of saving $20 changes from the unconditional chance 24% to the conditional chance 0%. However, if I answer "yes" my chance of saving $20 would get higher. What would be the conditional chance of saving $20 if you knew I got a discount? Mathematically, we seek: P(X = 20|X > 0 ). Even though it looks weird, it is just a conditional probability. Find it. P(X = 20|X > 0) = P(X = 20 and X > 0) / P(X > 0) = Hint: P(X = 20 and X > 0) be read off the table by identifying possible values where the event (X = 20 and X > 0) is true, don't use the multiplication rule. Do not round, express your…
