• Q : Inspecting the diameters of ball bearings....
    Basic Statistics :

    Bob, a manufacturing plant manager, is inspecting the diameters of ball bearings produced by a suspected malfunctioning unit. He randomly selects a sample of 12 ball bearings and measures the diamet

  • Q : Suspected malfunctioning unit....
    Basic Statistics :

    Bob, a manufacturing plant manager, is inspecting the diameters of ball bearings produced by a suspected malfunctioning unit. He randomly selects a sample of 12 ball bearings and measures the diamet

  • Q : Normal probability distribution....
    Basic Statistics :

    The lifespan of an electrical component is assumed to be normally distributed with an average life of 6 years and a standard deviation of 1 year. The electrical component manufacturer wants to offer

  • Q : Expectation of the random variable....
    Basic Statistics :

    What is the expectation of the random variable W = X+Y+4. What is the variance of the random variable W?

  • Q : Poisson distributed random variable with a mean....
    Basic Statistics :

    If X is a Poisson distributed random variable with a mean of 3, and Y is another Poisson distributed random variable with a mean of 2, and the two are independent, what is the varianceof the sum X+Y

  • Q : Independent bernoulli trials....
    Basic Statistics :

    In a sequence of 10 independent Bernoulli trials, where the probability of success is .4, what is the expected number of failures? (Variance?)

  • Q : Bell-shaped distribution with a mean....
    Basic Statistics :

    The diameters of a new species of apple have a bell-shaped distribution with a mean of 7.26cm and a standard deviation of 0.39cm. Using the empirical rule, what percentage of apples have diameters t

  • Q : Gallon of milk at various stores....
    Basic Statistics :

    The prices of a gallon of milk at various stores in one town have a mean of $3.86 with a standard deviation of $0.13. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a

  • Q : Event that a disk has high shock resistance....
    Basic Statistics :

    Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the f

  • Q : Launching a surprise attack....
    Basic Statistics :

    The crew of the Starship Enterprise is considering launching a surprise attack against the Borg in a neutral quadrant. Possible interference by the Klingons, though, is causing Captain Picard and Da

  • Q : Radar speed detector....
    Basic Statistics :

    The standard deviation for using a certain radar speed detector is 0.68 mph for vehicle speeds around 45 mph. If you were traveling 42 mph in a 30 mph zone and if a police officer used this speed de

  • Q : Get a matching pair....
    Basic Statistics :

    Suppose you have 22 shoes in a basket: 5 identical pairs of sneakers, 4 identical pairs of sandals, and 2 identical pairs of dress shoes. You select shoes from the basket in the dark, hoping to get

  • Q : What is the probability that she is a liberal....
    Basic Statistics :

    In a certain city 30% of the people are Conservatives, 50% are Liberals, and 20% are Independents. In a given election, 2/3 of the Conservatives voted, 80% of the Liberals voted, and 50% of the Inde

  • Q : Some intuitive reasoning....
    Basic Statistics :

    If A is a subset of B and B' isn't equal to 0, is P(A) larger or smaller than P(A|B)? Provide some intuitive reasoning for your answer.

  • Q : Standard deviation for using a certain radar....
    Basic Statistics :

    The standard deviation for using a certain radar detector is .68 mph for vehicle speeds around 45 mph. If you were traveling 42 mph in a 30 mph zone and if a police officer used his speed detector,

  • Q : Change conditional on the knowledge....
    Basic Statistics :

    Suppose that births are equally likely to be on any day. What is the probability that somebody chosen at random has a ba birthday on the first day of a month? How does this probability change condi

  • Q : Compute the probability of each of the following events....
    Basic Statistics :

    A dreidel is a four-sided top that contains a Hebrew letter on each side: nun, gimmel, heh, shin. Here we suppose that a fair dreidel is to be spun ten times. Compute the probability of each of the

  • Q : Compute the conditional probability....
    Basic Statistics :

    Suppose we roll three fair six-sided dice. Compute the conditional probability that the first die shows 4, given that the sum of the three numbers showing is 12.

  • Q : Every real number....
    Basic Statistics :

    Suppose Alice flips three fair coins, and let X be the number of heads showing. Suppose Barbara flips five fair coins, and let Y be the number of heads showing. Let Z =X -Y . Compute P(Z= z) for eve

  • Q : Percent confidence limit of error....
    Basic Statistics :

    Calculate the density and its 95 percent confidence limit of error, and present it and its limit of error in proper form with the correct number of significant figures and proper units.

  • Q : Moles of hcl in the solution....
    Basic Statistics :

    Calculate the number (n) of moles of HCl in the solution dispensed. Give S and Sm for the initial and final volumes, and give a limit of error (95 percent confidence) for n.

  • 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 : Exam for all students statewide....
    Basic Statistics :

    A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 536 and a standard devi

  • Q : Measure level of authoritarianism....
    Basic Statistics :

    A random sample of 15 student nurses were given a test to measure their level of "authoritarianism" with the following ordinal-scale results. Test the null hypothesis that the typical (median) score

  • Q : Number of poppy seed bagels....
    Basic Statistics :

    A bagel shop wants to estimate their daily demand for their popular poppy seed bagel. The shop owner determined that the daily demand follows the normal probability model with mean 300 bagels and st

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