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

    Test scores on a university admissions test are normally distributed with a mean of 500 and a standard deviation of 100. Twenty percent of test scores exceed what value?

  • Q : Median preferred to the mean as measure of location....
    Basic Statistics :

    In general, when is the median preferred to the mean as measure of location? In general, when is the mode preferred to the mean as measure of location?

  • Q : Drawn at random from the box....
    Basic Statistics :

    Three of the 30 balls are selected at random, played with, and then returned to the box. Later, another three balls are drawn at random from the box. What is the probability that all of these three

  • Q : Find the probability that the chosen letter....
    Basic Statistics :

    We choose one of the words in the following sentence uniormly in random and then choose of the letters of that word. Find the probability that the chosen letter is R

  • Q : Calculate the uncertainty level....
    Basic Statistics :

    Calculate the uncertainty level under a 99% of confidence, and the probability that a single measurement will be between 12.5m and 12.6m.

  • Q : Indicated number of classes....
    Basic Statistics :

    Use the data set and the indicated number of classes to construct (a) an expanded frequency distribution, (b) a frequency histogram, (c) a frequency polygon, (d) a relative frequency histogram, and

  • Q : Random variable with distribution function....
    Basic Statistics :

    Let X be a random variable with distribution function Fx(x), and a,b in real. Let Y be the random variable that satisfies Y=aX+b. Express the distribution function of Y, Fy(x), in terms of Fx(x).

  • Q : Fight lasts forever and the prob that a wins....
    Basic Statistics :

    On a single turn, A has a probability of 0.7 to successfully hit B, and B has prob of 0.8. A starts the duel. Compute the probability that this fight lasts forever and the prob that A wins.

  • Q : Distinguish one key from another....
    Basic Statistics :

    A man has n keys on a key ring, one of which opens the door to his apartment. Having celebrated a bit too much one evening, he returns home only to find himself unable to distinguish one key from an

  • Q : Foreign ownership of the retail trade....
    Basic Statistics :

    A researcher, concerned about the foreign ownership of the retail trade industy in the U.S., conducts a survey of retail firms in the country. in a sample of one hundred retail firms the researcher

  • Q : Determining the approximate probability....
    Basic Statistics :

    Suppose that all the cups' sizes are identical, but that their precise size is unknown - only that it is drawn from the given distribution. What is the approximate probability that 36 cups will have

  • Q : Body of a very large post-secondary institution....
    Basic Statistics :

    70% of the student body of a very large post-secondary institution is female. in a random sample of 12 students, what is the probability that

  • Q : Variances of the principal components....
    Basic Statistics :

    Suppose Y is a data matrix, and Z = YF for some orthogonal matrix F, so that Z is a rotated version of Y. Show that the variances of the principal com- ponents are the same for Y and Z.  

  • Q : Important quality characteristic of website....
    Basic Statistics :

    The speed at which you can log into a website through a smartphone is an important quality characteristic of that website. In a recent test, the mean time to log into the JetBlue Airways website thr

  • Q : Determined that women care more about people....
    Basic Statistics :

    At a significance level of 0.05 can it be determined that Women care more about people in need than men do?

  • Q : Adjacent stripes of the same color....
    Basic Statistics :

    A flag is to consist of 6 vertical stripes in yellow, green, blue, orange, brown, and red. It is not necessary to use all of the colors. The same color may be used more than once. How many possible

  • Q : Combinations of the up and down states....
    Basic Statistics :

    Construct a Markov chain to model the productivity of the shop. Hint: There are 8 possible states corresponding to the combinations of the up and down states of the three machines. Number these in a

  • Q : Equation of a straight line....
    Basic Statistics :

    If the coefficients a and b of the equation of a straight line ax + by = 0 are two distinct digits from the numbers {0, 1, 2, 3, 6, 7}, then how many distinct straight lines are possible?

  • Q : Time of departure and the random variable....
    Basic Statistics :

    A person leaves for work between 8 am and 8.30 am and takes between 40 and 50 minutes to get there. Let the random variable X denote her time of departure and the random variable Y the travel time.

  • Q : Exponential distribution with parameter lambda....
    Basic Statistics :

    A statistic for mean failure time has an exponential distribution with parameter lambda. Recall the exponential distribution has density function f(t) = lambda * exp(-lambda * t) and cumulative dist

  • Q : Cumulative probabilities for a continuous random variable....
    Basic Statistics :

    The cumulative probabilities for a continuous random variable X are P(X ? 10) = 0.25 and P(X ? 16) = 0.43. Calculate the following probabilities. a. P(X > 10) b. P(X > 16) c. P(10 < X <

  • Q : Numerous price reductions and better financing offers....
    Basic Statistics :

    A construction company in Naples, Florida, is struggling to sell condominiums. In order to attract buyers, the company has made numerous price reductions and better financing offers.

  • Q : Create a probability model for the amount....
    Basic Statistics :

    Create a probability model for the amount you win at this game. Also, find the expected winnings for a single game and the standard deviation of the winnings. What is the maximum amount you would be

  • Q : Intermediate computations to at least three decimal places....
    Basic Statistics :

    Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.

  • Q : Determine the value of c....
    Basic Statistics :

    Let Z be a standard normal random variable. Use the calculator provided to determine the value of c such that P(-c <= Z <= c) = .9707 (<= would be less than or equal to)

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