Suppose that independent trials, each of which is equally likely
to have any of m possible...
Suppose that independent trials, each of which is equally likely
to have any of m possible outcomes, are performed until the same
outcome occurs k consecutive times. If N denotes the number of
trials show that, E[N]=(mk - 1)/(m-1)
Consider n people and suppose that each of them has a birthday
that is equally likely to be any of the 365 days of the year.
Furthermore, assume that their birthdays are independent, and let A
be the event that no two of them share the
same birthday. Define a “trial” for each of the ?n? pairs of
people and say that 2
trial (i, j ), I ̸= j, is a success if persons i and j have the...
Independent trials, each of which is a success with probability
p, are successively performed. Let X denote the first trial
resulting in a success. That is, X will equal k if the first k −1
trials are all failures and the kth a success. X is called a
Geometric random variable (google it). Determine the moment
generating function of X.
8. Assume that male and female births are equally likely and
that the birth of any child does not affect the probability of the
gender of any other children. Suppose that 650 couples each have a
baby; find the mean and standard deviation for the number of girls
in the 650 babies.
9.A sales firm receives an average of four calls per hour on its
toll-free number. For any given hour, find the probability that it
will receive exactly five...
2. In a roulette game, the ball is equally likely to fall in any
one of the 38 slots. You will bet on 4 numbers. A roulette bet on 4
numbers has a payoff of 8:1. You have doubled your bet from $5 to
$10.
(a) Show the
probability distribution of the $10 bet as a table;
(b) Graphically, show how the
probability distribution of the doubled bet is related to the
original bet of $5;
(c) Compute the...
Are phone calls equally likely to occur any day of the week? The
day of the week for each of 392 randomly selected phone calls was
observed. The results are displayed in the table below. Use an αα =
0.10 significance level.
Complete the rest of the table by filling in the expected
frequencies:
Frequencies of Phone Calls for Each Day of the
Week
Outcome
Frequency
Expected Frequency
Sunday
55
Monday
54
Tuesday
64
Wednesday
50
Thursday
58
Friday
57...
Question 1
The simulation models that have been based on independent trials
in which the results for one trial do not affect what happens in
subsequent trials are referred to as:
static simulation models
dynamic simulation models
discrete-event simulation models
continuous-event simulation models
Question 2
In an inventory simulation model, the percentage of total demand
that will be satisfied is referred to as:
the service level
the optimal order quantity
customer satisfaction level
the optimal inventory level
Question 3
If...
A plane is missing, and it is presumed that it was equally
likely to have gone down
in any of 4 possible regions. Let 1 βi, i = 1, 2, 3, 4, denote the
probability that
the plane will be found upon a search of the ith region when the
plane is, in fact, in
that region. (The constants βi are called overlook probabilities,
because they represent the probability of overlooking the plane;
they are generally attributable to the
geographical...
1.When probabilities are assigned based on the
assumption that all the possible outcomes are equally likely, the
method used to assign the probabilities is called the
A.conditional method B.relative frequency method
C.subjective method D.Venn diagram method E.classical
method
2.You study the number of cups of coffee consumer per
day by students and discover that it follows a discrete uniform
probability distribution with possible values for x of 0, 1, 2 and
3. What is the standard deviation of the random...
Which of the following are independent trials?
a. All of these answers are correct.
b. The results of a coin flip after rolling two dice and the
first character of a license plate and the color of the car.
c. The results of a coin flip after rolling two dice
d. The first character of a license plate and the color of the
car
e. The total of two dice after recording the value of the first
die rolled
Suppose that the market portfolio is equally likely to increase
by 14% or decrease by 4%. Security "X" goes up on average by 22%
when the market goes up and goes down by 14% when the market goes
down. Security "Y" goes down on average by 32% when the market goes
up and goes up by 26% when the market goes down. Security "Z" goes
up on average by 4% when the market goes up and goes up by 4%...