e X (in hours) of a battery in constant use is an arbitrary variable with exponential density. What is the probability that tery will last more than 28 hours if the average life is 8 hours? your answer to four decimal places.)

v. Use log, 2 0.356, log,3 = 0.565, and log,5 0.827 to approximate the value of the given logarithm. 11.) log, 150

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Q.4. with A-50, a=10. What is the probability of the precipitation to remain in the range of 45 and Annual depth of precipitation X (cm) is assumed to be lognormally distributed 62 cm? Str

Determine whether the statements are true or false.    A. In logistic regression, the model is fitted by using The Least Square Regression Estimation method. B. Odds ratio is defined as the ratio of two log-odds. C. In logistic regression, as Bo + Bx gets huge, p approaches 1.

An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the K given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) 1 1.5 3 D 0.5 1.2 4.8 2 18 2.5 27 37.2 Distance (meters) 10.5 Choose the correct scatterplot below. Ay 50- 40- 30- 20- 10- 0- 0 Help me solve this O 1 F2 O O 2 3 OB. y= O c. y=+) Inx OD. y=x²+x+ OE. y= G Get more help - 20 F3 OB. 000 HR 000 F4 50- 40- 30- 20- 10- 04 O S O O 0 1 2 F5 MacBook Air What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) OA. y= + F6 CHIED ◄◄◄ O. C. F7 50- 40- 30- 20- 10- 0- 0 O ▶11 2 F8 3 Q F9 OD. Ax F10 50-…

Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015. D +|+|||||||||||||||| ► Ebola Cases in West Africa E = A logistic fit for these data is given by 27,841.42 1 + 134.65-0.646 where t is the time in months since April 1, 2014. Below, we have added the graph of this model. +-+|||||||||||||||||| ► Logistic Graph Added (a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015? Because the data points appear to be [leveling off ✔✔✔, they show a health crisis that is under control (b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number. 27021.61 x cases (c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after…

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In 1997, 1500 runners entered a marathon in Joppetown U.S.A. In 2003, 18,000 runners entered the race. Because of the limited number of facilities, the carrying capacity for the number of racers is 58,500. The number of racers at any time, t, in years, can be modeled by the logistic function P(t) = C .Complete parts a) through d) below. %3D 1+Be kt a) What is the value of C? C = b) Find B. B = c) Find k. k = (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) d) In what year should at least 48,500 runners be expected to run in the race? In the year (Do not round until the final answer Then round un to the nearest whole pumber)