Let xbe a binomial random variable with a variance of 0.48, q = 0.6 and n=2. Find E(2x-3) اختر احدى الدجابات 2.4 O -1.4 O None O 1.4 -2.4
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- An urn contains 7 black and 16 white balls. A ball is to be drawn randomly from the urn. Let X= 1 if a black ball is drawn, and let X=-1 ifa white ball is drawn. Find the mean of X=_1 Leave your answer to two (2) decimal places. the variance of X=2 Leave your answer to two (2) decimal places. Enter the correct answer below. Fease enter a number for this test box Pieese enter a humber for this texc box 2.The time it takes to bake a Blueberry Muffin is normally distributed with a mean of 45 minutes and a variance of 48 minutes2. Let baking time, in minutes, be represented by random variable X. P(x1<X<50)=0.1140. Find X1A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 22 gallons? Round your answer to four decimal places.
- A bridge can resist a weight up to 104 metric tons. The mean weight of a car is 4 tons with a variance of 9 tons. On a given day, there are 2450 cars on the bridge, approximate the probability that the bridge will failIt is known from laboratory experiments that 40% of mice inoculated with a serum are protected from a certain disease. If 6 mice are inoculated, find the probability that (a) none contracts the disease, (b) fewer than 2 contracts the disease; (c) more than 4 contracts the disease. (d) Find the mean and variance of X: the number of mice protected from disease after inoculation.None
- Graduate students applying for entrance to many universities must take a Miller Analogies Test. It is known the test scores have a mean of 75 and a variance of 16. This year, one hundred students applied for entrance into graduate school in physics. Find the probability that the average score of this group of students is higher than 76. (Round your result to 4 decimal places.)Consider a country that imports steel and exports au- tomobiles. The value per unit of cars exported is mea- sured in units of thousands of dollars per car by the random variable X. The value per unit of steel imported is measured in units of thousands of dollars per ton of steel by the random variable Y. Suppose that the coun- try annually exports 10 cars and imports 5 tons of steel. Compute the mean and variance of the trade balance, where the trade balance is the total dollars received for all cars exported minus the total dollars spent for all steel imported. The joint probability distribution for the prices of cars and steel is shown in Table 4.11.Th aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2). A random sample of 16 rats was selected from group 1and 13 rats from group 2, Then their weight were recorded. The results are shown in the following table d Median Mean n 1.05 30 35 16 group 1 1.15 2.0 2.20 13 group 2 F19,16,0.025 0.386 FE12005 = 0.404 /16.100.026 =0..335 Foi6o 0451 151201=0190 F16.10.0L05 = 0.401. !! ZI6inai2s-0.371 FR15005= 0.382 F'0.16,0025 =0,286 Ik190.000.437 F21501=0,475|| 1u,16 005 – 0.354 Construct a 95% confidence interval for the ritio ihe väran s THint because of the rounding select the closest interval (0.318 2063 a0 None of thesEb
