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A student has 6 different notebooks and decided to give 5 of them to a friend. How many ways does he have to give away these notebooks?
The management of a restaurant has been studying whether or not new customers return
within a month. The collected data reveal that 60% of the new customers have returned.
If 90 new customers dine at the restaurant this month, what is the probability that at least
60 will return next month? Use Normal approximation to Binomial distribution.
The mean annual salary of all the frontlines (nurses, medical technologists,
radiologic technologists, phlebotomists) in the Philippines is Php 42,500.
Assume that this is normally distributed with standard deviation Php 5,600.
A random sample of 25 health workers is drawn from this population, find
the probability that the mean salary of the sample is:
Greater than php 41, 000?
The quantity produced daily at the ABC cement factory is approximately normally
distributed with mean 0.82 and standard deviation 0.14. The units are on millions of tons.
Find the probability that the total production will between 0.80 and 0.85 million tons.
A student majoring in marketing is trying to decide on the number of firms to which she
should apply. Given her work experience, grades, and extra curricular activities, she has
been told by a placement counselor that she can expect to receive a job offer from 80% of
the firms to which she applies. Wanting to save time, The student applies to only five firms.
Assuming the counselor’s estimate is correct, find the probability that the student receives
at least three offers.
Suppose your company has 40% share of the market. You randomly select the names of 25
purchasers of this type of product. What is the probability that between 7 and 12 of these
purchasers, inclusive, will be your customers if the normal approximation for the binomial
is used?
The probability of hitting an aircraft is 0.001 for each shot.
How many shots should be fired so that the probability of
hitting with two or more shots is above 0.95?
Suppose that a game is to be played with a single die
assumed fair. In this game a player wins $20 if a 2 turns up,
$ 40 if a 4 turns up; loses $30 if a 6 turns up; while the
player neither wins nor loses if any other faces turns up.
Find the expected sum of money to be won.
Find the area under the normal curve in each of the following cases. between z = 0 and z = 1.63 between z= 0 and z = 1.78 between z = -2.46 and z = 1.55 to the right of z = 2.35 to right of z = -1.31 to the left of z = 0.35 to the left of z - 1.85 to the right of z = -0.95
If 1.6 accidents can be expected an intersection on any given day, what is the
probability that there will be 3 accidents on any given day?
