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If a random variable can take on a measurable infinite number of values (such as a person's weight, height, or temperature), one would use a discrete distribution.
In a random sample of 5 parts on an assembly line, the probability that one of the parts is defect is 15% and follows a binomial distribution. What is the probability of 3 parts being defective?
The test for this drug is 90% accurate for users of the drug. (This means 90% of the tests come back positive if the person uses the drug). What is the probability that an athlete tests positive and
The Qwik Market & Branding Company has found the following results of married people in a taste test of a popular high energy drink. Given that a husband prefers the drink, what is the probabili
The performance of quality inspectors affects both the quality of outgoing products and the cost the products. A product that passes inspection is assumed to meet quality standards; a product that f
Let X be normally distributed random variable with mean u and variance s2= 4.84. Determine the the size of the sample required to be 90% confident that the error in the estimation is of u is at most
The objective is to draw a constant draft of 23 million gallons per month from this river. How large would the impoundment have to be to provide such a water supply for Springfield during this droug
Based on available information, lead time demand for CD ROM drives averages 250 units (normally distributed), with a standard deviation of 25 drives. Management wants a 98% service level. How many d
Use zero through third order taylor series expansions to predict f(2) for the function f(x)=25x^3-6x^2+7x-88 Using a base point at x=1. compute the true percent relative error for each approximation
Consider the game where two dice, die A and die B, are rolled. we say that die A wins, and write A > B, if the outcome of rolling A is larger than that of rolling B. If both rolls result in the s
There is a 25% chance that a fuse of a certain type is defective. Approximate the probability of having more than or equal to 15 defective fuses in a box containing 30 fuses.
Using the CV, compare the variability of the two items. Suggest reasons for any differences
The probability that no defects are found in a batch selected from production line A is .99, and the corresponding probabilities for production lines B and C are 0.97 and 0.92, respectively
A simple random sample of 10 software widgets are chosen for installation. If 10% of this type of software widgets have connectivity problems, find the probability of each of the following events.
The mean score of a college entrance test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 320?
A manufactured battery is defective with the probability of 5%.In a lot of n=200 batteries, approximate the probability that at most 12 car batteries are defective.
What is the area under the normal curve between z = -1.0 and z = -2.0?
A researcher wishes to estimate the percentage of adults who support aboloishing the penny. What size sample should be obtained if he wishes the estimate to be within 4 percentage points with 95% co
Given a population with a mean m of 75 and a standard deviation of 15, what is the z-score for the following values?
What makes the standard normal distribution different from other distributions?
Using the standard normal table, find the proportions for the areas listed below
Two cards are drawn from a well-shuffled deck. What is the probability that they form a blackjack (i.e. one is an ace and the other is a ten, jack, queen, or king)?