• Q : Find the probability of getting a pair....
    Basic Statistics :

    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

  • Q : Particular material from two different suppliers....
    Basic Statistics :

    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

  • Q : Quick way to calculate....
    Basic Statistics :

    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.)

  • Q : Exam score from midterm-exam score....
    Basic Statistics :

    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

  • Q : Smallest number of successes....
    Basic Statistics :

    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

  • Q : Probability that no two of the dice land....
    Basic Statistics :

    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?

  • Q : Find the probability function for y....
    Basic Statistics :

    Find the probability function for Y. Find the probability function for Y.

  • Q : Estimate for the probability of an engine....
    Basic Statistics :

    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

  • Q : Certain kind of appliance requires repairs....
    Basic Statistics :

    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

  • Q : Normal distibution to approximate the binomial distribution....
    Basic Statistics :

    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

  • Q : Normal population with a mean....
    Basic Statistics :

    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.

  • Q : Normally distributed with a mean value....
    Basic Statistics :

    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.

  • Q : Null hypothesis and the alternative hypothesis....
    Basic Statistics :

    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

  • Q : Random samples of milk....
    Basic Statistics :

    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

  • Q : Expected value-variance and approximate distribution....
    Basic Statistics :

    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,

  • Q : Chance of meeting quantity demanded....
    Basic Statistics :

    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

  • Q : Probability of a sample mean....
    Basic Statistics :

    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

  • Q : Portugal with probability....
    Basic Statistics :

    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

  • Q : Randomly chosen ball of string....
    Basic Statistics :

    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

  • Q : Find the mean and the standard deviation....
    Basic Statistics :

    The random variable X is normally distributed with mean μ and variance σ(squared). Given that P(X > 58.37) = 0.02 and P(X < 40.85) = 0.01, find the mean and the standard deviation.

  • Q : Mass of a small loaf of bread....
    Basic Statistics :

    The mass of a small loaf of bread is normally distributed with mean 500 grams and standard deviation of 20 grams. Find the probability that a randomly selected loaf has a mass not exceeding 470g.

  • Q : Monthly income of assistant managers....
    Basic Statistics :

    Suppose the monthly income of assistant managers of our local banks are normally distributed with mean of Php40,000 and a standard deviation of Php5,000. What is the z score for an income of Php30,0

  • Q : Exact probability of creating a mini license plate....
    Basic Statistics :

    Determine the exact probability of creating a mini license plate with an R. Give solution exactly in reduced fraction form.

  • Q : Error percentages for the computerized system....
    Basic Statistics :

    Use the pictured Excel output to determine whether the error percentages for the computerized system differ from those for the manual system at the .05 level of significance. What do you conclude?

  • Q : Three digits number....
    Basic Statistics :

    A three digits number is to be formed from the digits 1 through7, with no digit being used more than once. How many such number would be less than 289?

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