Determine whether the following is a probability distribution.
If not, identify the requirement that is not...
Determine whether the following is a probability distribution.
If not, identify the requirement that is not satisfied. If yes,
find the mean and standard deviation.
X P(X)
1 0.15
2 0.13
3 0.15
4 0.10
5 0.10
6 0.37
Solutions
Expert Solution
TOPIC:PMF,mean and standard deviation of the given discrete
random variable.
Determine whether or not the distribution is a discrete
probability distribution and select the reason why or why not.
x
−4
−3
−2
P(X=x)
0.55
0.39
0.06
Answer
First, decide whether the distribution is a discrete probability
distribution, then select the reason for making this decision.
Decide Yes No
Reason Since the probabilities lie inclusively between 0 and 1
and the sum of the probabilities is equal to 1. Since at least one
of the probability values is greater than...
In ad determine whether the given procedure results in a binomial distribution For those that are not binomial identify at least one requirement that is not satisfied. For those that are define the binomial random variable. a) Drawing 5 cards from a deck of cards, with replacement, and counting the number of clubs. b) Drawing 5 cards from a deck of cards, without replacement, and counting the number of clubs c) Surveying 1000 college students by asking them how many credits they are...
Determine whether the distributions below are probability
distributions. If not, what characteristic of the distribution is
the reason? Bulleye Hit Darts X P(X = x) 0 0.64 1 0.26 2 0.18 3
0.04 4 -0.12
Bullseye's Hit in Darts X P(X = x) 0 0.69 1 0.16 2 0.12 3 0.08 4
0.03
Bullseye's Hit in Darts X P(X = x) 0 0.57 1 0.26 2 0.11 3 0.04 4
0.02
Bullseye's Hit in Darts X P(X = x) 0...
1) determine whether the distribution represents a probability
distribution if not state why
x
15
16
20
25
p(x)
0.2
0.5
0.7
-0.8
2) Suit sales: the number of suits sold per day at a retail
store is shown in the table with corresponding probabilities find
the mean, variance and standard deviation of the distribution
x
0
1
2
3
4
P(X)
.31
.42
.21
.04
.02
3) dice game: a person pays $2 to play a certain game by...
Determine whether or not the given procedure results in a
binomial distribution. If not, identify which condition is not
met.
Spinning an American roulette wheel 63 times and recording the
number of times the ball lands on green. Yes? Or No?
4.) Determine whether the following probability
experiment is a binomial experiment. If the probability experiment
is not a binomial experiment, state why?
a.) In a town with 400 citizens, 100 randomly selected
citizens are asked to identify their religion. The number who
identify with a Christian religion is recorded.
b.) An experiment is conducted in which a single die
is cast until a 3 comes up. The number of throws required is
recorded.
Determine whether the following are examples of theoretical
probability, subjective probability, or relative frequency.
a) After taking the exam you believe there is a 90% chance that
you passed.
b) Last month the bus was on time 70% of the time so you believe
that there is a 70% chance that the bus will be on time today.
c) Your friend tells you her job interview went well and she
believes there is a 75% chance that she will get...
Compute P(X) using the binomial probability formula. Then
determine whether the normal distribution can be used to estimate
this probability. If so, approximate P(X) using the normal
distribution and compare the result with the exact probability.
nequals62, pequals0.3, and Xequals8
Compute P(X) using the binomial probability formula. Then
determine whether the normal distribution can be used to estimate
this probability. If so, approximate P(X) using the normal
distribution and compare the result with the exact probability.
n=40, p=0.35, X=20 P (X) = Can the normal distribution be used to
approximate thisprobability? Approximate P(X) using the normal
distribution. Use a standard normal distribution table. Select the
correct choice below and fill in any answer boxes in your choice.
By how much...