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Suppose we choose independently 25 numbers at random (uniform density) from the interval [0, 20]. Write the normal densities that approximate the densities of their sum S25 and their average A25.
A fair coin is tossed 100 times. What does the Chebyshev inequality tell you about the probability that the number of heads that turn up deviates from the expected number by three or more standard d
A sample of 25 novels has a standard deviation of 9 pages. Find the 95% confidence interval of the population standard deviation. (LET SD be the symbol for standard deviation as in sigma)
What reaction time will 99.99% of the drivers be faster than? 80% of the driver reaction times will be slower than what reaction time?
Two non-repeating letters and two numbers will be used to form an identification badge. The letters are "A" through "K" and the last number MUST BE EVEN. How many different identification badges are
In a dice game, if a players rolls a 5 or a 7 she wins $10.00. if she rolls a 9, she wins 5.00 .. the cost to play the game is $2. What is the expection?
What is the probability that you come out even of win money after playing just one game? What is the expected monetary gain or loss to you for playing this game?
Also, please show steps using excel or by hand on how to find if this is a right tailed T-test, how to find the hypothesized mean difference, t stat, and p-vale.
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indica
Suppose that we have ratings of a restaurant from a sample of 72 customers. Each of the ratings is either "poor," "fair," "good," or "very good," Please state and then explain which of the followin
Give your answer using the theoretical efficacy of the pill. Please use 4 decimal places. Give your answer using the real efficacy of the pill. Please use 4 decimal
The mean errors per page made by a clerk in the word processing pool for a large company is thought to be 2.4 with the numbers of errors distributed according to a poisson distribution. what is the
What is the probability that in a group of 10 people from this population, exactly 7 are have blond hair? How to calculate the probability that in the group of 100 people from this population at least
Assume that you researched insurance industry statistics and found out that the probability of major accident is 0.05%, and that the probability of a fender bender is 0.16%.
what is the probability that a binomial random variable, X, having parameters n = 500 and p = 0.025, takes a value greater than 2? what is the probability that X exceeds 4 if it is known that X exce
An artist sells her works at the East Lansing Art Festival. Suppose that 5% of those who stop by her booth will buy a piece of art, and that those who stop by arrive in random order and make buying
Approximately what proportion of the area under a normal curve with mean ? and standard deviation ? falls to the right of ?+2??
How many standard deviations from the mean would a car going under the speed limit be?
Find the standard deviations of the random variable. options: A) 6 B) 7 C) 10 D) 19
The mean number of errors per page made by a clerk in the word processing pool of a bank is thought to be 2.8 with the number of errors distributed according to a Poisson distribution. If a page is
You play two games against the same opponent. The probability that you win the first game is 0.4. If you win the first game, the probability you also win the second is 0.2. If you lose the first gam
An insurance policy costs $100 and will pay policyholders $10,000 if they suffer a major injury or $3000 if they suffer a minor injury. The company estimates that each year 1 in every 2000 policy ho
A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits. X=# of R
Consider an m state Markov chain with transition matrix pij. Note, as usual, the sum of the entries in any row add to one. The transition matrix is called doubly stochastic the transpose is also a s
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 30% of the cameras sold have been of the basic model. Of those buying the basic model,