Homework Answers
Solution:-
H)
a) The variable "number of saved telephone numbers on a person's phone is classified as a discrete variable.
A discrete variable is a variable that can only take on a certain number of values. In other words, they don’t have an infinite number of values. If you can count a set of items, then it’s a discrete variable.
The number of saved telephone numbers on a person can only take on a certain number of values and it don’t have an infinite number of values, hence the variable "number of saved telephone numbers on a person's phone is classified as a discrete variable.
b)
The given probability distribution is binomial because binomial distribution has only two outcomes, whereas in this case there are 4 outcomes.
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(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 1), n = 4, p = 0.1 Probability = (b) P(X > 1), n = 6, p = 0.1 Probability = (c) P(X < 3), n = 6, p = 0.3 Probability = (d) P(X > 2), n = 3, p = 0.4 Probability =
(1 point) If X is a binomial random variable, compute the probabilities for each of the...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 3), n = 9, p = 0.3 Probability = (b) P(X > 4), n = 5, p = 0.3 Probability = (c) P(X<5), n = 7.p = 0.35 Probability = (d) P(X > 6), n = 7, p = 0.3 Probability =
Explain why this is or is not a probability distribution × 1 2 3 4...
Explain why this is or is not a probability
distribution
×
1 2 3 4
P(×)
0.4 0.3 0.3 0.0
Is this not a probability distribution since the
probability add to 1.4, not 1
Explain why this is or is not a probability distribution X13 P(x) 0.4 0.3 0.3 0.0 No this is not a probability distribution sine the probability add to 1.4, not 1 Part 2 A USA Snapshot titled Are you getting a summer job? Interview...
(1 point) If X is a binomial random variable, compute the probabilities for each of the...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 1), n = 7, p = 0.3 Probability = (b) P(X > 5), n = 7, p = 0.1 Probability = (C) P(X < 6), n = 8, p = 0.5 Probability = (d) P(X > 2), n = 3, p = 0.5 Probability =
(1 point) If X is a binomial random variable, compute the probabilities for each of the...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 2), n = 9, p = 0.4 Probability = (b) P(X > 3), n = 8, p = 0.35 Probability = (c) P(X < 2), n = 5, p = 0.1 Probability = (d) P(X 25), n = 9, p = 0.5 Probability =
2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities...
2. A discrete random variable X can be 2, 8, 10 and 20 and its
probabilities are 0.3, 0.4,
0.1 and 0.2, respectively. Drive the inverse-transform algorithm
for the distribution.
2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities are 0.3, 0.4, 0.1 and 0.2, respectively. Drive the inverse-transform algorithm for the distribution
Discrete Probability Distributions, Continuous Probability Distri- butions, and Sampling Distributions (100 points) 1. Does each of...
Discrete Probability Distributions, Continuous Probability Distri- butions, and Sampling Distributions (100 points) 1. Does each of the following tables represent a probability distribution? Explain why or why not. For those that represent a probability distribution, calculate the mean and variance of the variable r. a f(x) 0.5 0.25 0.25 f(x) 0.4 0.4 0.4 0.2 ( X 1 2 3 4 C) f(x) 0.5 0.3 0.3 -0.1
If x is a binomial random variable, use the binomial probability table to find the probabilities...
If x is a binomial random variable, use the binomial probability table to find the probabilities below. a.. P(x=2) for n=10, p=0.4 b.. P(x≤6) for n=15, p=0.3 c.. P(x>1) for n=5, p=0.1 d.. P(x<17) for n=25, p=0.9 e.. P(x≥6) for n=20, p=0.6 f.f. P(x=2) for n=20, p=0.2 a. P(x=2)=_______________-(Round to three decimal places as needed.)
In the probability distribution to the right, the random variable X represents the number of marriages...
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
a) Consider the following data on a variable that has Bernoulli distribution: X P (X) 0...
a) Consider the following data on a variable that has Bernoulli distribution: X P (X) 0 0.3 1 0.7 Find the Expected value and the variance of X. And E(X)-X Px) b) Consider the following information for a binomial distribution: N number of trials or experiments 5 x- number of success 3 Probability of success p 0.4 and probability of failure 1-p 0.6 Find the probability of 3 successes out of 5 trials: Note P(x) Nox p* (1-p)Note: NcN!x! (N-x)!...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 1), n = 4, p = 0.1 Probability = (b) P(X > 1), n = 6, p = 0.1 Probability = (c) P(X < 3), n = 6, p = 0.3 Probability = (d) P(X > 2), n = 3, p = 0.4 Probability =
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 3), n = 9, p = 0.3 Probability = (b) P(X > 4), n = 5, p = 0.3 Probability = (c) P(X<5), n = 7.p = 0.35 Probability = (d) P(X > 6), n = 7, p = 0.3 Probability =
Explain why this is or is not a probability
distribution
×
1 2 3 4
P(×)
0.4 0.3 0.3 0.0
Is this not a probability distribution since the
probability add to 1.4, not 1
Explain why this is or is not a probability distribution X13 P(x) 0.4 0.3 0.3 0.0 No this is not a probability distribution sine the probability add to 1.4, not 1 Part 2 A USA Snapshot titled Are you getting a summer job? Interview...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 1), n = 7, p = 0.3 Probability = (b) P(X > 5), n = 7, p = 0.1 Probability = (C) P(X < 6), n = 8, p = 0.5 Probability = (d) P(X > 2), n = 3, p = 0.5 Probability =
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 2), n = 9, p = 0.4 Probability = (b) P(X > 3), n = 8, p = 0.35 Probability = (c) P(X < 2), n = 5, p = 0.1 Probability = (d) P(X 25), n = 9, p = 0.5 Probability =
2. A discrete random variable X can be 2, 8, 10 and 20 and its
probabilities are 0.3, 0.4,
0.1 and 0.2, respectively. Drive the inverse-transform algorithm
for the distribution.
2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities are 0.3, 0.4, 0.1 and 0.2, respectively. Drive the inverse-transform algorithm for the distribution
Discrete Probability Distributions, Continuous Probability Distri- butions, and Sampling Distributions (100 points) 1. Does each of the following tables represent a probability distribution? Explain why or why not. For those that represent a probability distribution, calculate the mean and variance of the variable r. a f(x) 0.5 0.25 0.25 f(x) 0.4 0.4 0.4 0.2 ( X 1 2 3 4 C) f(x) 0.5 0.3 0.3 -0.1
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
a) Consider the following data on a variable that has Bernoulli distribution: X P (X) 0 0.3 1 0.7 Find the Expected value and the variance of X. And E(X)-X Px) b) Consider the following information for a binomial distribution: N number of trials or experiments 5 x- number of success 3 Probability of success p 0.4 and probability of failure 1-p 0.6 Find the probability of 3 successes out of 5 trials: Note P(x) Nox p* (1-p)Note: NcN!x! (N-x)!...
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