Question
In: Statistics and Probability
T or F and explanation 17. If p ≠ .5, then the associated binomial random variable...
T
or F and explanation
17. If p ≠ .5, then the associated binomial random variable is
not symmetric about the expected value.
18. The histogram of X is highest at a mode of X.
Solutions
orchestra answered 2 years agoRelated Solutions
T or F and explanation 17. If p ≠ .5, then the associated binomial random variable...
T
or F and explanation
17. If p ≠ .5, then the associated binomial random variable is
not symmetric about the expected value.
18. The histogram of X is highest at a mode of X.
Suppose that x is a binomial random variable with n = 5, p = .66, and...
Suppose that x is a binomial random variable with
n = 5, p = .66, and q = .34.
(b) For each value of x, calculate
p(x). (Round final
answers to 4 decimal places.)
p(0) =
p(1)=
p(2)=
p(3)=
p(4)=
p(5)
(c) Find P(x = 3).
(Round final answer to 4 decimal
places.)
(d) Find P(x ≤ 3).
(Do not round intermediate calculations.
Round final answer to 4 decimal places.)
(e) Find P(x < 3).
(Do not round intermediate calculations....
The p.d.f of the binomial distribution random variable X with parameters n and p is f(x)...
The p.d.f of the binomial distribution random variable X with
parameters
n and p is
f(x) =
n
x
p
x
(1 − p)
n−x x = 0, 1, 2, ..., n
0 Otherwise
Show that
a) Pn
x=0 f(x) = 1 [10 Marks]
b) the MGF of X is given by [(1 − p) + pet
]
n
. Hence or otherwise show
that E[X]=np and var(X)=np(1-p).
Let X be a binomial random variable with parameters n = 5 and p = 0.6....
Let X be a binomial random variable with parameters n = 5 and p
= 0.6.
a) What is P(X ≥ 1)?
b) What is the mean of X?
c) What is the standard deviation of X? (Show work)
Given a binomial random variable with n = 100 and p = .5, estimate the Pr[X...
Given a binomial random variable with n = 100 and p = .5,
estimate the Pr[X ≥ 40]
Let ? be a binomial random variable with ? = 9 and p = 0.4. Find:...
Let ? be a binomial random variable with ? = 9 and p = 0.4.
Find:
?(?>6)
?(?≥2)
?(2≤?<5)
?(2<?≤5)
?(?=0)
?(?=7)
??
?2
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables.
(a) What are the possible values for (X, Y ) pairs.
(b) Derive the joint probability distribution function for X and Y. Make sure to explain your steps.
(c) Using the joint pdf function of X and Y, form...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial
distribution with parameters n=5, p=0.3, and Y denote a random
variable that has a Poisson distribution with parameter λ = 6.
Additionally, assume that X and Y are independent random
variables.
What are the possible values for (X, Y ) pairs.
Derive the joint probability distribution function for X and Y.
Make sure to explain your steps.
Using the joint pdf function of X and Y, form the summation
/integration...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial
distribution with parameters n=5, p=0.3, and Y denote a random
variable that has a Poisson distribution with parameter λ = 6.
Additionally, assume that X and Y are independent random
variables.
What are the possible values for (X, Y ) pairs.
Derive the joint probability distribution function for X and Y.
Make sure to explain your steps.
Using the joint pdf function of X and Y, form the summation
/integration...
If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x≤5),n=9,p=0.7P(x≤5),n=9,p=0.7...
If x is a binomial random variable, compute P(x) for each of the
following cases:
(a) P(x≤5),n=9,p=0.7P(x≤5),n=9,p=0.7
(b) P(x>1),n=9,p=0.1P(x>1),n=9,p=0.1
(c) P(x<3),n=5,p=0.6P(x<3),n=5,p=0.6
(d) P(x≥1),n=6,p=0.9P(x≥1),n=6,p=0.9
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Make-or-Buy Decision Fremont Computer Company has been purchasing carrying cases for its portable computers at a...
- The following costs were incurred for the single product produced during the first year of operations...
- Non-constant growth model: Do=$2.00 required return on equity= 5% g= 9% n=1,2 g=7% n=3,4 g=3% n=5...
- . Find all x ∈ Z143 such that x2Ξ 7 (mod 143). Please explain all steps...
- #Python: A palindrome is a sequence of characters that reads the same backwards as forwards. For...
- Explain an example in which a variable has two different addresses at different places in a...
- Hadley, a thirty-five-year-old physician, has worked at Princeton Plainsboro Hospital for six years. She recently received...
ADVERTISEMENT