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QUESTION
an experiment is conducted in which a quality-control manager at a phone manufacturer picks a box of 12 phones. the manager knows that there are 5...
- an experiment is conducted in which a quality-control manager at a phone manufacturer picks a box of 12 phones. the manager knows that there are 5 defective phones in the box. then the manager selects 8 phones at random from the box. Let X= the number defective phones from the 8 selected phones. a. using the arrow construction for discrete random variables, draw a picture of the random variable X and the PDF of X. b. a formula for the PDF of X. c. compute the probability that X =8 (namely the probability that 8 out of the 8 selected phones defective).
- Determine if the following if the following table is a good candidate for a PDF of a discrete random variable, X (A yes or no answer will suffice), [x 5 6 7 8 9]
- consider a room of 5 people. It is equally likely that a person will be make a female. let X= the number of women in the room. a. a formula for the PDF of X. b. compute the probability that X =3 (namely the probability that there are 3 women in the room.
- true or false (if false give a counterexample) a. if the standard deviation of a data set is a large number, then the data values of the data set are close to the mean. b. if the z-score of a data is 0 then the data value is equal to the mean.
- consider an arbitrary data set. a. determine the only condition under which the standard deviation of a data set (with more than one data value) will be zero. b. Draw a picture of a data set for which the median is better than the mean for estimating the central tendency of the data set.
