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A change is made to one product page on the retail
companies’ web site. To determine if the change
does improve the efficiency of that product page, data
must be collected on the proportion of visitors to the
new page that ultimately purchase the product. It is
known that 3.2% of visitors, to the original page,
make purchases. Assume that this proportion holds for
the next 500 visitors to the new page. Use the normal
distribution to approximate the probability that,
among these 500 visitors, the number who purchase
will be
(a) 11 or fewer.
(b) 21 or more.
The probability density shown in Figure 5.21 is the exponential
distribution
f (x) =
0.55 e−0.55x 0 < x
0 elsewhere
Find the probability that
(a) the time to observe a particle is more than
200 microseconds;
(b) the time to observe a particle is less than
A stockroom clerk returns three safety helmets at random to three steel mill employees who had previous checked them. If Gary, Yuri and Cris, in that order, receive one of the three hats, list all the sample points for the possible orders of returning the helmets, and find the values of random variable X representing the number of correct matches. *
Give me two examples with solutions of each types of discontinuities
(b) Patients arrive at a hospital accident and emergency department at random at a rate of 6 per
hour. Find the probability that, during any 90 min. period, the number of patients arriving at the
hospital accident and emergency department is (i) exactly 7 (ii) A patient arrived at 11:30 a.m.,
then find probability that the next patient arrives before 11:45 a.m.
A basket contains 8 ripe and 6 unripe bananas. If three bananas are taken from the basket one after the other. Construct a table that shows all the possible outcomes of the random experiment and all the values of the random variable R representing the number of ripe bananas.
The numbers 5, 10, 15, and 20 are written on slips of paper, which are then placed in a hat. Two slips are randomly selected with replacement. Find the mean of the samples where the first is smaller than the second.
Find the are to right of z=2.78
How many edges are there in a graph with 15 vertices each with degree 8?
In a Math test, the mean score is 45 and the standard deviation is 4.
Assuming normality, what is the probability that a score picked at random will lie
c. between 35 and 53?
