Here is a few scenarios where I want you to describe how you would set up either binomialcdf or binomialpdf on your calculators. Use correct probability notation (ex P(X = 3) = .1314), and for the inequalities give a brief example of which values for X you are trying to "include" in your calculation, and the logic behind why you are setting up your calculator function in a given way.  A Multiple Choice test is given consisting of 10 questions, each question having 5 possible answers, one of which is correct.  Jimmy hasn't studied and prepared himself for the test, and is therefore forced to completely guess on each question.  Find the probability that: (1) He gets exactly 5 (half) of the questions correct (2) He gets ALL the questions correct (3)  He gets NONE of the questions correct

Two geysers that are near to each other are labelled as Geyser A and Geyser B. The time between eruptions for a given geyser follows an exponential distribution. The eruption times of the two geysers are independent of one another. The mean amount of time between eruptions of Geyser A is 39 minutes, and the mean amount of time between eruptions of Geyser B is 66 minutes. Given that exactly one of the geysers erupts within the next 49 minutes, determine the probability that it will be Geyser A. O 0.6654 0.7850 O 0.7252 O 0.6953 O 0.7551

When you are asked to calculate the probability that something is going to occur in the future (poisson), what equation do you use?

A mail order company has an  8%  success rate. If it mails advertisements to  502  people, find the probability of getting less than  34  sales. Round  z -value calculations to  2  decimal places and final answer to at least  4  decimal places.   P(X<34)=

A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n =  . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who  the occupation of firefighter has very great prestige, so f =  (0.6096 answer is incorrect.) .

Please show as much work as possible, and please do not skip steps. I really want to learn how to solve this, so if you use a axiom please include it.   Problem Statement: One out of every one- thousand people have disease X. A new test for X is available, but it's not very accurate. If you have X, there is an 80% chance the test comes back positive and a 20% chance it comes back negative. If you don't have X, there is a 60% chance the test comes back negative and a 40% chance it comes back positive. Question: You are randomly chosen to be tested for X. Since the test is not very accurate, you areadministered the test 10 times; assume the outcomes of these 10 tests are independent. Sevenout of the 10 tests come back positive. Given these test results, what is the probability youhave X?

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.…

A mail order company has an 8% success rate. If it mails advertisements to 562 people, find the probability of getting less than 38 sales. Round z-value calculations to 2 decimal places and final answer to at least 4 decimal places. P (X<38) = Thank you!