The maximum patent life for a drug is 17 years. Subtracting the length of time required by the FDAfor testing and approval of the drug provides the actual patent life for the drug that is, the lengthof time that the company has to recover research and development costs and to make a profit. Thedistribution of the lengths of actual patent lives for new drugs is given below, where Y is a randomvariable representing actual patent life of a drug (in years):yP(Y=y)F(y)4 5 6 7 8 9 10 110.06 0.08 0.11 0.15 0.22 0.18 0.12 0.08a) Complete the table above with the cumulative probability distribution for actual patent life(F(y) = P(Y ≤ y)).b) What is the probability that the actual patent life of a random drug is 6 years or less?c) What is the probability that the actual patent life of a random drug is more than 8 years? Showthis in two ways:i. using the probability distribution for Yii. using the cumulative probability distribution for Y, and applying our probability of comple-ments rule

Let Y be the random variable of the actual patent life of a drug (in years). The probability…

Answered: a) Complete the table above with the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two fair dice are rolled. Find the joint probability distribution of Y1 and Y2, where Y1 is the larger of the values obtained on the dice and Y2 is the absolute value of the difference of the values obtained on the dice. Find the marginal probability distributions of Y1 and Y2 from the joint probability distribution.
As you walk into your econometrics exam, a friend bets you $10 that she will outscore you on the exam. Let ✗ be a random variable denoting your winnings. X can take the values 10, if you win teh bet, 0 if there is a score tie, or -10 if you lose. You know that the probability distribution for ✗ is denoted by f(x) and it depends on whether she studied for the exam or not. Let Y be the random variable that indicates if she studied, Y = 0 if she studied and Y = 1 if she did not study. The following table denotes the joint distribution of X and Y : Y=0 Y=1 f(x) X = -10 0.18 P1 P2 X = 0 0 P3 0.3 X = 10 P4 0.45 P5 f(y) P6 0.75 Probabilities P1, P2, P3, P4, P5, P6 are not displayed in the table. Answer the following items: (a) (b) (a) Compute the Probabilities P1, P2, P3, P4, P5, P6 of the table. (b) Compute the expectation E(X). Should you take the bet? (c) What is the probability distribution of your winnings if you know that she did not study, namely, P(X = −10|Y = 1), P(X = 0|Y = 1), P(X…
For what model are the following expressions the cumulative probability distribution for response? What is the meaning of the ; ? Pr(Y, 5 j\x)= Pr(5, S a, \x) = Pr(a + B* + + Bixu + &; < a;\x) = Pr(ɛ, sa;-a- B,xX1 -…-- B;Xx |x)
The probability of afternoon rain given morning cloud cover >50% is of interest to those forecasting the weather. You can calculate this probability using Bayes' Theorem (below). The probability of morning cloud cover in general is 30% in the area you are concerned with and when there's afternoon rain, morning cloud cover of the kind described above occurs 90% of the time. The probability of rain in general for the area is about 26% of days. From the above information, identify what P(BIA) would be. Express your answer as a proportion, rounded to two decimal places. P(A/B)= = P(B|A)*P(A) P(B)
Pls help might need to use excel
i need help with a-d
A thief steals stereo systems from the parked cars. Every morning he starts searching parked cars, until he gets a car with stereo system. Then he steals the stereo system and calls it a day. The probability that a parked car has a stereo system is 'p' and it is treated as success, the probability distribution of failures before getting a stereo system for 100 days as follows. Fit a geometric distribution for the following data. No. of failures (x) 0 No. of days (f) 1 2 120 48 20 7 3 3 4 5 6 1 1
Suppose we played roulette x5 times (where x = 3 is the last digit of your student ID) and each time we bet on the number 17. In each game, xthe probability of winning is 1/37. Calculate the probability P(X = z), where z is the second-to-last digit of your student ID (in this case, z = 5). Draw the probability distribution function graph for the given scenario. Also, calculate the probability of winning less than 5 timesDo this task in R commander.
Find the value of X (Left Tailed Probability of 0.5) for v1 = 10 and v2 = 20 degrees of freedom.
The mean percent of childhood asthma prevalence in 43 cities is 2.21%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o= = 1.21%. The probability is (Round to four decimal places as needed.)
Tom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 20 seconds. Suppose Jerry needs 10 seconds to get across the house, and starts 5 second after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught?
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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