stats 2

Larger values of the standard deviation result in a normal curve that is a. shifted to the right b. shifted to the left c. narrower and more peaked d. wider and flatter

*wider and flatter* as σ gets larger the spread of the distribution is greater. So this means the distribution should be wider

A continuous random variable may assume a. any value in an interval or collection of intervals b. only integer values in an interval or collection of intervals c. only fractional values in an interval or collection of intervals d. only the positive integer values in an interval

For continuous distributions you must consider an interval as there is no area under the pdf at a given point.

A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a a. uniform probability distribution b. binomial probability distribution c. hypergeometric probability distribution d. normal probability distribution

Just the definition of binomial

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the a. normal distribution b. binomial distribution c. Poisson distribution d. uniform distribution

Poisson distrubution is most appropriate because it is discrete and it looks at things in a given time or space

For a uniform probability density function, a. the height of the function can not be larger than one b. the height of the function is the same for each value of x c. the height of the function is different for various values of x d. the height of the function decreases as x increases

the height of the function is the same for each value of x

Bayes' theorem is used to compute a. the prior probabilities b. the union of events c. intersection of events d. the posterior probabilities

the posterior probabilities

The collection of all possible sample points in an experiment is a. the sample space b. a sample point c. an experiment d. the population

the sample space

Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable? a. the experiment has a sequence of n identical trials b. exactly two outcomes are possible on each trial c. the trials are dependent d. the probabilities of the outcomes do not change from one trial to another

Trials should be independent

Any process that generates well-defined outcomes is a. an event b. an experiment c. a sample point d. a sample space

an experiment

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) a. normal probability distribution b. uniform probability distribution c. exponential probability distribution d. Poisson probability distribution

exponential probability distribution

Two events are mutually exclusive a. if their intersection is 1 b. if they have no sample points in common c. if their intersection is 0.5 d. None of these alternatives is correct..

if they have no sample points in common