Suppose x is a binomial random variable with p = .4 and n =
25.
c. Use the binomial probabilities table or statistical software
to find the exact value of P(x>=9). Answ:.726 back of book
d. Use the normal approximation to find P(x>=9). answ:.7291
the back of book
For one I have no idea how to use the binomial probabilities
table .
The mean is 10, variance is 6 and std is 2.45
If possible could someone explain how to...
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....
Suppose a random variable, x, arises from a binomial experiment.
Suppose n = 6, and p = 0.80. Find: a.) P(x = 0) b.) P(x = 1) c.)
P(x = 2) d.) P(x = 3) e.) P(x = 4) f.) P(x = 5) g.) P(x = 6) h.)
the sum of probabilities calculated in parts (a) through (g) i.)
the population mean ? for this probability distribution j.) the
population standard deviation ? for this probability distribution
Enter answers rounded...
In the exercise, X is a binomial variable with
n = 7 and p = 0.2. Compute the given probability.
Check your answer using technology. HINT [See Example 2.] (Round
your answer to five decimal places.)
P(1 ≤ X ≤ 3)
Suppose a random variable, x, arises from a binomial
experiment. If n = 23, and p= 0.22, find the
following probabilities using technology. show work
P (x = 21)
P (x = 6)
P (x = 12)
P (x<=14)
P (x >=17)
6. P (x <= 9)
Suppose a random variable, x, arises from a binomial experiment.
If n = 22, and p = 0.85, find the following probabilities using any
method of your choosing (e.g., the binomial formula; Excel, the TI
84 calculator). (a) P (x = 18) (b) P (x = 5) (c) P (x = 20) (d) P
(x ≤ 3) (e) P (x ≥ 18) (f) P (x ≥ 20)
Suppose that X is a binomial random variable with parameters
n=20 and p=0.7.
Choose a wrong statement about the random variable X.
a.
The maximum possible value of X is 20.
b.
The minimum possible value of X is 0.
c.
The variance of X is 4.2.
d.
The expected value of X is 14.
e.
Pr(X = 19)+ Pr(X = 1)= 1
1.
(Use Computer) Let X represent a binomial random
variable with n = 400 and p = 0.8. Find the
following probabilities. (Round your final answers to 4
decimal places.)
Probability
a. P(X ≤ 330)
b. P(X > 340)
c. P(335 ≤ X ≤ 345)
d. P(X = 300)
2.
(Use computer) Suppose 38% of recent college graduates plan on
pursuing a graduate degree. Twenty three recent college graduates
are randomly selected.
a.
What is the...
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).