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At De Anza College, 20% of the students take Finite Mathematics, 30% take Statistics and 10% take both. What percentage of the students take Finite Mathematics or Statistics? Please use the Vienn diagram to solve the problem. I got the following answer the first time, it was incorrect.P(Finite Mathematics) = 0.20, P( Statistics) = 0.30 P( Statitics and Maths) = 0.10 P( Stats OR Maths) =P( Statistics) + P(Maths) - P( Statitics and Maths) = 0.20+0.30-0.10 = 0.40 = 40% 2. College students average 7 hours of sleep per night with a standard deviation of 45 minutes, If the proportion of college students sleep for more than 7.9 hours? You have attempted this problem 1 time. Your overall recorded score is 096. You have unlimited attempts remaining Enal instructor we afterpled this problem I tme Homework6.2: Problem 2 tony 6 2 4 0 5don quapres stage jo Jo 3. Suppose that at ACME College, 63% of students who take a Math class pass. Also, 50% of students who take an English class pass. It is also known that at ACME College, the events "Pass Math" and "Pass English" are independent Find the probability that an ACME College student who takes both classes will pass either Math or English (or both). Enter as a decimal rounded to three places.1) Consider 1.000 mole of an ideal gas at 273.15 K. The pressure of the gas is 4.000 atm. The gas is confined to a cylinder with a movable piston at one end. The gas is initially in equilibrium with its surroundings, that is, the pressure on the piston is also 4.000 atm. a) Suppose that the expansion of the gas takes place isothermally and reversible, such that the pressure on the piston is slowly and reversibley decreased from 4.000 atm. until it reaches 2.000 atm. For this reversible change calculate AE, AS, AH, AG, q, and w for the gas. Calculate AS for the universe. The temperature is constant at 273.15 K. b) Suppose instead that the pressure on the piston is suddenly decreased from 4.000 atm. to 2.000 atm., and the gas is thus expanded irreversibly until it is again in equilibrium with its surroundings; the pressure on the piston is 2.000 atm. during the entire expansion, and the temperature is always 273.15 K. For this change calculate AE, AS, AH, AG, q, and w for the gas. Calculate AS for the universe. 2) Consider two containers separated by a stopcock, which is initially closed. One container has a volume of 1.000 liter and contains one mole of Hi(g) at a pressure of 1.000 atm. The other container has a volume of 2.000 liters and contains two moles of CH(g) at a pressure of 1.000 atm. The temperature is held constant at 298.15 K. Assume the gases to be ideal. The stopcock is then opened to allow the two gases to mix, still at 298.15 K. For this mixing process calculate AH, AE, AS, and AG. 3) Consider methanol (() and methanol (2). The following values are for 298.15 K: methanol ((): AH, =-57.0 kcal/mole ; S= 30.3 cal/(K mole) methanol (g): AH , =-48.0 kcal/mole ; S= 57.3 cal/(K mole) Calculate AH and AS values for methanol (() -> methanol (g) at 298.15 K Assume that these values are constant with respect to temperature, and calculate a boiling point for methanol. 4) Consider the following reaction at 298.15 K: 2 HiS (g) + 3 0r (g) -> 2 H:0 (g) + 2 80: (g) a) Calculate AG' for the reaction. AG's values at 298.15 K are -71.7 kcal/mole for SO: (2) -54.6 kcal/mole for H20 (g) -8.0 kcal/mole for HiS (g) b) Calculate Kp .he planned outcome . com shown below Find the warlance and standard division 2. Suppose that at ACME College, 56% of students who take Precalculus pass. Also, 52% of students who pass Precalculus go on to pass Calculus. Find the probability that an ACME College student who takes Precalculus will pass both Precalculus and Calculus. Enter as a decimal rounded to three places. 3. Assume that womens heights are normally distributed with a mean given by /=62.3 in and a standard deviation given by o =2.2 in a) if 1 women is randomly selected find the probablelity that her height is less than 63 in b) if 30 women are randomly selected find the probably that they have a mean height less than 63 in 4. Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 959% Cl for expected lead content when traffic flow is 15, based on a sample of n= 12 observations. is [4621. 597.7) What parameter is this interval estimating? the average change in lead content with a change in traffic flow-Me. Centers Treece flew may the average lead content when traffic flow is 15. "Lead center the average lead content Calculate a C with confidence level 99%% for expected lead content when traffic flow is 15. (Round your answers to one decimal place.] 5. Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n = 12 observations, is (465.3, 594.5). What parameter is this interval estimating? O # the average change in lead content with a change in traffic flow. ALead Content the average lead content. HLead Content| Traffic flow - 15 the average lead content when traffic flow is 15. Calculate a CI with confidence level 99% for expected lead content when traffic flow is 15. (Round your answers to one decimal place.) You may need to use the t-table.Suppose that at ACME College, 56% of students who take Precalculus pass. Also, 52% of students who pass Precalculus go on to pass Calculus. Find the probability that an ACME College student who takes Precalculus will pass both Precalculus and Calculus. Enter as a decimal rounded to three places.2. If the probability density of X is given by 2xe-x2 for x > 0 f ( x ) = 0 elsewhere and Y = X2, find (a) the distribution function of Y; (b) the probability density of Y.\f\f\f11. For a laboratory assignment, if the equipment is working, the density function of the observed outcome X is as shown below. Find the variance and standard deviation of X. 8 f(x) = -x. 0
