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- Show it earlyPlease show the full steps.Let X be the number of litres of milk shake that is requested at a café on a hot summer day. Assume that ??(??) = 12??(1000−??)21012 , 0<x<1000, zero elsewhere, is the pdf of x. How many litres of milk shake should the store have ready on each of these days, so that the probability of exhausting its supply on a particular day is 0.05?
- How many words can be formed by permutation of the letters of the word DEPRESSION such that each obtained word does not contain 2 consecutive identical letters? (Hint: use the principle of inclusion and exclusion)Sahad prides himself in making a burger in under 4 minutes. The time, Y, in minutes to make the burger can be shown to have the following PDF 금 (y + 2) 02. In probability, it is common to model the deviation of a day's temperature from the monthly average temperature using the Gaussian probability density function, 1.-/9 f(t) = V9T This means that the probability that the day's temperature will be between t = a and t = b different from the monthly average temperature is given by the area under the graph of y = f(t) between t a andt = b. A related function is %3D F(x) = -2/9 dt, 2 0. %3D V9n Jo This function gives the probability that the day's temperature is between t = -x and t = x different from the monthly average temperature. For example, F(1) 0.36 indicates that there's roughly a 36% chance that the day's temperature will be within 1 degree (between 1 degree less and 1 degree more) of the monthly average. 1 (a) Find a power series representation of F(x) (write down the power series using sigma notation). (b) Use your answer to (a) to find a series equal to the probability that the day's temperature will be within 2 degrees of the…Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will (Enter your answer to four decimal places.) At least one girl Tor Scientific F-E MR M+ M- MS MY NOTES Trigonometry v Function v FIN12 7.4.017. nd e questions. If a student guesses at every answer, what is the probability that he or she will answer exactly 9 questions c mod 8. 6. 6. 10 log 1 1/- 0. 38 F Clear A In P Type here to search 2.The question is really interesting. Please explain how to solve such a question! Please an intuitive explanation for the answer. Thank you.14. Show that for the Gamma distribution e dp = dx, 0Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON