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- Given a die in the shape of a regular octahedron, find the probability that one roll produces a an even- number result b a result of 4 or more.In rolling a fair die once, what is theprobability of rolling a 2 or an oddnumber? show solutionA tetrahedron has four upturned faces numbered 1,2,3, and 4. An experiment using a fair tetrahedron was done and the number in the upturned face was recorded. Let X be the number in the upturned face of the tetrahedron, give the P[X=x].
- You rolled a six-sided die 60 times and got the following tallly 20 ones. 20 twos. 15 threes. 3 fours. 2 fives. 0 sixes. Does this seem like a reasonable result? What interference might you draw from the result?Answer this Using George's Polya's Method/Step by Step.An observer at a busy bus stop did a 30-minute study of 3 buses. Given the following -Alight time =2 sec -Board time=3 sec -Door opening time =5 sec Determine the dwell time for the 3 buses
- A circle K with a radius of R is given, along with a point A inside the circle, situated at a distance of a from the center of the circle. A point B is chosen randomly within the circle. Determine the probability that the circle with center A and radius ∣AB∣ will be completely within the circle K.Two different lathes turn shafts to be used in electricmotors. Measurements made of their diameters (in cm)areLathe A: 1.42 1.38 1.40 1.41 1.39 1.44 1.36 1.42 1.40Lathe B: 1.47 1.31 1.56 1.33 1.29 1.46 1.28 1.51Construct two stem-and-leaf diagrams to see if youshould suspect that the two lathes are turning out shaftsof different diameters.The following are Levey-Jennings charts for a cholesterol method using two materials at two different levels. By applying the Westgard multple rules, determine whether these results should be reported. if they shouldn't, determine which Westgard rule or rules have been violated
- Suppose a fair die is tossed two times. Let X be the larger of the two faces that appear. Find px (k).A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?A die is specially built so that the even numbers are twice as likely as the odd numbers. A test is made to roll the die 180 times. The results of the occurrence of each face is recorded as the following: Face 1 2 3 4 5 6 Frequency 23 36 22 44 18 37 Is the die made up to the specification? Do a goodness-of-fit test at 10% significance level?