• Q : Number of failures on the network....
    Basic Statistics :

    Let F be the number of failures on the network during one 24 hour day. State the distribution and parameter(s) of F. What is the probability that there are between 5 and 7 network failures inclusive i

  • Q : Expected value of the number of aces....
    Basic Statistics :

    Suppose we draw 13 cards out of a deck of 52. What is the expected value of the number of aces we get?

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

    Assume that Bob's golf scores, G, approximately follow a normal distribution with a mean of 77

  • Q : Find the value of z that is equal....
    Basic Statistics :

    Find the value of z that is equal to the 80th percentile.

  • Q : Times between the birthday messages....
    Basic Statistics :

    It is your birthday and you are waiting for someone to write you a birthday message on Facebook. On average (on your birthday) you receive a facebook message every 10 minutes.

  • Q : Valid probability density function....
    Basic Statistics :

    Let X have the density fx(x) = c(2x + 1) for 0 ? x ? 4 and fx(x) = 0 otherwise, where c is a constant. Find the value of c that makes this a valid probability density function.

  • Q : Distribution and parameter....
    Basic Statistics :

    At a track and field tournament, Fred's long jumps vary evenly from 6.5 to 7.2 meters. Let X be the length of Fred's long jumps. Name the distribution and parameter(s) of X.  

  • Q : Question regarding the marginal density....
    Basic Statistics :

    Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 <= 1. Find (a) the marginal density of X and (b) the conditional density of Y given X=x.

  • Q : Confidence the number of californians....
    Basic Statistics :

    Estimate with 95% confidence the number of Californians between 25 and 55 years of age who are in the market segment the university wishes to target.

  • Q : Percentage of metal plates....
    Basic Statistics :

    Assume that the mean has shifted to 20.10. Calculate the percentage of metal plates that exceed the tolerance limits in part (d).

  • Q : Simple random sample of movie viewers....
    Basic Statistics :

    A poll was taken of a simple random sample of movie viewers in a test audience at a new romantic comedy. The movie was given an average rating of 4.5 out of 5 by the 41 women in the audience, with a

  • Q : Correlation between the random variables....
    Basic Statistics :

    Find the covariance between the random variables X and Y. What is the correlation between the random variables X and Y?

  • Q : Probability of getting a perfect score....
    Basic Statistics :

    If all 8 answers are random guesses, what is the probability of getting a perfect score? If all 8 answers are random guesses, what is the probability of getting at least one correct?

  • Q : Conditional and marginal densities....
    Basic Statistics :

    Could someone please help me explain this in a physical sense? In ohter words, why are these densities the same from a physical viewpoint?

  • Q : Question regarding the acceptance sampling....
    Basic Statistics :

    A teletronix company purchases large shipments of fluorscent bulbs. They randomly select and test 24 bulbs from each shipment and then accept the whole batch if at most one bulb fails to work. If a

  • Q : Question regarding the marginal density....
    Basic Statistics :

    Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 <= 1. Find (a) the marginal density of X and (b) the conditional density of Y given X=x.

  • Q : Conduct the test using a p-value....
    Basic Statistics :

    Assist the production control manager in determining if the machine is achieving its targeted average using test statistic and critical value t. Conduct the test using a p-value.

  • Q : Question regarding joint density....
    Basic Statistics :

    Suppose X and Y have joint density f(x,y). Are X and Y independent if:

  • Q : Difference between two means based on information....
    Basic Statistics :

    Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of fr

  • Q : Hypotheses for this situation....
    Basic Statistics :

    The local municipality claims that since the percentage of intersections that had an accident last year decreased from the prior year, the city is now safer. What are the hypotheses for this situati

  • Q : Design matrix x and the fitted-vector....
    Basic Statistics :

    Show that in MLREG (multiple linear regression) the residual vector e is orthogonal to both the design matrix X and the fitted-vector (prediction-vector) Y-hat.

  • Q : Random sample from distribution with density function....
    Basic Statistics :

    Let X1, X2 be a random sample from a distribution with density function f(X)=thetaX^theta-1 for 0<X<1. The null hypothesis H0: theta=3 is tested against the alternative hypothesis Ha: theta=2

  • Q : Value of the power function....
    Basic Statistics :

    Let X1,...X25 be a random sample from a normal distribution with mean mu and variance 100. The null hypothesis H0: mu=50 is rejected in favor of the alternative Ha: mu=55 if and only if the sample m

  • Q : Find the 50th percentile....
    Basic Statistics :

    Find the 50th percentile (median) the 25th percentile (first quartile) the 75th percentile (third quartile) and the 90th percentile for the following densities

  • Q : Semester hour of the population mean....
    Basic Statistics :

    How many students should be included in the sample to be 99% confident that the sample mean is within one semester hour of the population mean for all students at this college.

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