Please help with the following assignment: (will give positive rating)

\fMM lirlll'llll Remember the denition of a binomial Event: 1. There's a set number. n, of identicai trials. 1. The outcome of each trial is either a success or a failure. 3. The probability of sueoess on a single trial is p. 4. The trials are independent. There are times the independence criteria might not be satised, but for all practical purposes the binomial distribution could still be used. The question is whether the total population is large enough relative to the number of samples. II' the population size is at least 20 times larger than the sample size then it touid he considered a binomial event. [Some textbooks use 10 instead of 2G. and 1-3 is also a valid tteon. The important thing is that you use a widely actepted standard when justifying that 1mur situation can be oonsdered binomial.) W 1. 3. Lotx be a binomial random variable. with n = In and p = .3. A. Write the expression for P(x 2 6} in terms of the formula BF)" [1 - p)\"'* , then evaluate it using your calculator. (1 point) I. using probability notation, Rx = 1), write out all the probabilities you'd need to add up In order to calculate Pix c E], and then evaluate it using your ralculator. (1 point] C. For part B, why did you choose the upper bound that you did? If you were using the normal approximation oould you choose a different upper bound? why or why not? [1 point} You're taking samples of size 1o from a population of :0 marble. and moor-ding tho number of bin: marbles in oath \"molt. illhry isn't Hill I binomial litul'titl. arid why would It be almost binomial ll you am the some \"prim-lit with a population of 200 marbles? [2 points] A psychiatrist billion that m 0" all Americans who visit mt! hm problems ol a paychoaomtic nation; that is. they hm a physical problem with shay-diabolical oat-Io. She decide. to randomly select 25 patents to lost her t ry. A. Is this a blnomial experlment? Explain why or why not. using the criteria for a binomlal experiment. Since this Is a sanipling situation. be sure to mention whether it meets the criterla of an almost binomial situation. (2 points) I. Assuming that the psydilatrist's theory is tme. what's the expected value of X; the number of the 25 patients who have peydiosornatlc problems? (In other words. what's the expected number of successes.) (1 point) i:. Using the exact binomial calculation, nd Pix