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What is the variance of the number of jellybeans that you win? If you like jellybeans, is this a game you want to play?
Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is one star per 16 cubic light
Suppose X has a Poisson distribution with a mean of 7. Determine the following probabilities:
The weekly repair cost Y for a machine has a probability density function given by
Consider a continuous random variable X with the following pdf: f(x) = ( (1/2)x + (1/4) for 1 <= x <=c, 0 otherwise, where c is an unknown constant. What value of c makes f a valid pdf? (use t
You roll a die until you have seen a 5 on 4 of the rolls (e.g. (5, 3, 2, 5, 4, 1, 6, 5, 2, 5). What is the expected number of rolls this will take?
Assume they had decided based upon the initial confidence interval from a sample of 2000 customers to not go ahead with the gift due to concern that the average donation would not cover the $0.50 co
Which of the following are true statements about the p-value and hypothesis tests?
Salt-free diets are often prescribed to people with high blood pressure. The following data values were obtained from an experiment designed to estimate the reduction in diastolic blood pressure as
Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations.
Two independent random samples resulted in the following. Find the estimate for the standard error for the difference between two means. (Give your answer correct to two decimal places.) Sample A: n
The analytic scores on a standardized aptitude test are known to be normally distributed with mean =580 and standard deviation = 150.
A random sample of 10 college freshmen underwent an intensive training course to improve their biology test scores. Each students test scores from before the course and after the course are listed b
What is the percentage of typists who type 60 wpm or faster given that typing speed is normally distributed with a mean of 45 wpm and a standard deviation of 12 wpm? Remember, probabiities should be
1) Find P(X > 12) if X is distributed as a Normal with mean 15.1 and standard deviation 4.7. Remember, probabilities should be written out to 4 decimal places
A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sample of 40 bins, the sample mean amount was 51.5 pounds and the sample
The magazine mass marketing company has recieved 15 entries in its latest sweepstakes. They know that the probability of receiving a mgazine subcription order with an entry form is 0.4
Suppose that X is a negative binomial random variable with p = 0.4 and r = 4. Determine the following.\ Round your answers to four decimal places (e.g. 98.7654).
Consider a sequence of independent Bernoulli trials with p=0.21. What is the expected number of trials to obtain the first success?
A real estate agent has 15 properties that she shows. She feels that there is a 40% chance of selling any one property during a week. the chance of selling any one property is independant of sellin
Draw a normal curve with a mean=100 and standard deviation =8. Label the mean, standard deviations and the inflection points
Do the data provide sufficient evidence to indicate a difference between and? Test using the two-sample independent t test with = 0.05.
A regional airline has been selling seats based on the assumption that the average passenger weighs no more than 180 pounds. A recent survey of n = 100 passengers gave a sample mean of 186 pounds wi
The researchers found a significant difference between the two groups (control and treatment) for change in mobility of the women with osteoarthritis (OA) over 12 weeks with the results of F(1, 22)