Problem #4: Students with the last name of P-T: Please review Section 5.3. Solve the following five problems showing work, using the Poisson Distribution formula from our te POISSON DISTRIBUTION P(X = x|A) = x! (5.8) where P(X = x|A) = probability that X = x events in an area of opportunity given A A = expected number of events per unit e = mathematical constant approximated by 2.71828 x = number of events (x = 0, 1, 2, . ..) 1. Let A = 2.0, find P(X 2 2). (Round to three decimal places) 2. Let A = 0.5, find P(X s 1). (Round to three decimal places) 3. Let A = 7.0, find P(X s 3). (Round to three decimal places)

QUESTION 2 Suppose X has a continuous uniform distribution on the interval [-1,3]. Find the variance, o² var(X), of X. Round to 4 decimal places if needed. =

Question 30 A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly selected realtor. 1. Describe the distribution of X: (dfn= 14 2. Use the random variable notation to express symbolically each of the following: P(X<7.9) The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. X-F X<7.1 An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 13.1 is equal to 0.99. ii. more than 7.9: 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is: i. less than 7.1: iii. between 0.4 and 8: iv. more than 72.4: v. less than 98.3: 4. Find the 11-th…

Need help with this intro to probability and statistics homework problem.