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Five percent of respondents gave $25,000 or more to charity over the previous year. Make a 95% confidence interval for the proportion who gave $25,000 or more to charity.
A radio takes anywhere from the 10 to 20 seconds to receive the signal. Let's call G the completion time for the retrieval and suppose that G has a uniform distribution over the interval [10,20] sec
Consider the sample space S = {a,b,c,d} and assign probabilities to the elementary events as P(a) = 1/7, P(b) = 2/7, P(c) = 4/7, P(d) = 0
In the game of craps, two dice are thrown initially. If they total a 7 or 11, then the roller wins, and if they total 2, 3, or 12, the roller loses.
An elevator in the building starts with six people and stops at eight floors. Supposing that all permutations of the passengers getting off at various floors are equally likely, find out the probabi
A 13-Card hand is dealth from a standard deck of 52 cards. What is the probability that it contains exactly 3 spades and all four aces
Two cards are dealth from n decks of 52 cards mixed together. Find the probability of getting a pair, that is, two cards of the same denomination, for n = 1,2,4,6,8
A chemical manufacturer purchases a particular material from two different suppliers. The mean level of impurities seems to be the same but the manufacturer is concerned about the variability in the
Show that the sample variance is equal to [n SUM1(Yi2) - (SUMi Yi)2] / [n(n-1)]. (This is a fairly quick way to calculate S2 since it doesn't detour through the mean.)
Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period.17 The least-squares line for predicting final exam score from midterm-exam score was
Suppose H0: p = 0.45 is to be tested against H1: p > 0.45 at the α = 0.14 level of significance, where p = P(ith trial ends in success). If the sample size is 200, what is the smallest numb
What is the probability that no two of the dice land on the same number? Given that no two of the dice land on the same number, what is the conditional probability that B<Y<R?
Find the probability function for Y. Find the probability function for Y.
A realistic estimate for the probability of an engine failing on a transatlantic flight is 1/14,000. Using the probability and binomial probability formula to find the probabilities of 0, 1, 2, and
A certain kind of appliance requires repairs on the average once every 2 years. Assuming that the times between repairs are exponentially distributed, what is the probability that such an appliance
Use the normal distibution to approximate the binomial distribution. USA today reported that 15% of all books are of the romance genre. If a local bookstore sell 316 books on a given day. Find the p
A random sample is obtained from a normal population with a mean of µ = 80 and a standard deviation of s = 8. Which of the following outcomes is more likely? Explain your answer.
The monthly utility bills are normally distributed with a mean value of $160 and a standard deviation of $25. A) find the probability of having a utility bill between $120-$180 dollars.
For the following statement, write the null hypothesis and the alternative hypothesis. Also label which one is the claim. A car manufacturer claims that their cars makes at least 35 miles per gallon
The distribution of bacteria in milk is roughly normal. The average bacteria count is M = 2500 and the SD = 300. In 42 random samples of milk what is the probability that the average bacteria count
A sample of size 56 is to be drawn from a t distribution where is an integer greater than 2. For this distribution, the expected value is 0, and the variance is /( ? 2). What is the expected value,
One of Specialty's managers felt strongly that the order quantity should have a 70% chance of meeting quantity demanded (i.e. only a 30% chance of stock-out). What quantity should be ordered under t
Australian Koala bears are thought to have a mean height of 21 inches and a standard deviation of 3 inches. You plan to choose a sample of 55 bears at random. What is the probability of a sample mea
During the 2010 World Cup group stage, my friend Manmood wanted me to pay him $5 if Brazil beat Portugal. At the time, I believed that Brazil would beat Portugal with probability 0.8. For the bet to
Due to manufacturing variations, the length of string in a randomly chosen ball of string can be modeled by a normal distribution. Find the mean and standard deviation given that 95% of the balls wi