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st pass a placement exam to get into a needed class. Suppose the student guesses on all the answers and therefore has only 10% chance of passing the test each time. What is the expected number of ti
Assume that X is a Poisson random variable with μ = 20. Calculate the following probabilities. (Round your intermediate calculations and final answers to 4 decimal places.) a. P(X less
The weather in Bitsburg on any given day can be classified as sunny, cloudy or partially cloudy. Each day is also classified as dry or wet (i.e. rain, snow, sleet, etc.). The probability of a sunny
If a coin is flipped 25 times with eight tails occuring, what is the probability that no run of six (or more) consecutive heads occur? (Solve using generating funciton)
Let Q be a random variable which is uniformly distributed between 0 and 1. On any given day, a particular machine is functional with probability Q. Furthermore, given the value of Q, the status of t
John Jay takes a random sample of 23 Quarer Pounders. they have a mean weight of 4.08 ounces with a standard deviation of .17 ounces assume burger weights are normally distributed. What is an approp
Let X be a binomial random variable with p=0.5 and n=10. Calculate the following Probabilities from the binomial probability mass function. Round your answers to four decimal places.
Imagine a game of three players where one player wins in the end and all players have equal chances of being the winner. The game is repeated four times. Find the probability that at least one perso
A recent survey described the sleep time of college students as normally distributed with a standard deviation of 1.15 hours and a mean of 7.02 hours. Suppose we wish t take a simple random sample o
We roll a fair die repeatedly until we see the number 4 appear and then we stop. Find the probability that we needed an even number of die rolls.
In a simple random sample of 80 automobiles registered in Jland , 28 of them were found to have emission levels that exceed a state standard. let p be the proportion of all automobiles in Jland hat
Let test statistic T have a t distribution with df degrees of freedom.
As a function of a what is the expected value for X ? As a function of X what is th method of moments estimator for a ? ( x has bar on top). If our sample gives X = 2 , then what is the moments estima
The R2 and adjusted R2 tell us how much of the variation in the dependent variable is explained by our model but not much else. That works well for forecasters, who worry more about R2&nbs
For the data set below, if you were to fit a regression equation, what would the value of R2 be, to two decimals? Hint: Recall that R2 is related to the correlation value r in simple linear regressi
What does applicant 1's sales figure correspond to in standardized variables? What about applicant 2? Which applicant should be hired? Enter 1 or 2.
A student takes a calculus midterm and a history midterm. The mean and standard deviation on the calculus midterm are 58 and 15 points while they are 63 and 35 on the history midterm. Suppose she ge
Researchers studied the effects of adding an exercise program to dieting in the achievement of weight loss. A sample of 45 men ages 18-20 (Group 1) were observed for weight loss using a diet only, a
If a asteroids are entering the earth's atmosphere and disintegrate with a rate that reduces their size by a factor on ½ by the time they strike the earth, assuming that they all strike the e
Calculate the test statistic to test the hypothesis described above, assuming the two population standard deviations are equal.
He wishes to test the null hypothesis that the average amount of money people have in their pockets is equal to $20. Calculate the test statistic to two decimal places.
Calculate the lower bound of a 95% confidence interval for the true difference in the proportion of individuals who experienced improved mood, to two decimal places.
Suppose that the company conducting the survey wants to see if the true population proportion of game players who believe DLC is "very important" is greater than 0.80. Calculate the p-value of the t
Use the standing data to develop a point estimate of the number of minutes during an NFL game that players are standing around between plays. Compare this to the actual playing time reported in this
Suppose that two dierent tests A and B are to be given to a student chosen at random from a certain population. Suppose also that the mean score on test A is 85.