Solution Found!
Let X Bin(7, 0.3). Find a. P(X = 1) b. P(X = 2) c. P(X < 1) d. P(X > 4) e. X f. 2
Chapter 4, Problem 1(choose chapter or problem)
Let \(X \sim \operatorname{Bin}(7,0.3)\). Find
a. \(P(X=1)\)
b. \(P(X=2)\)
c. \(P(X<1)\)
d. \(P(X>1)\)
e. \(\mu_{x}\)
f. \(\sigma_{x}^{2}\)
Equation Transcription:
Text Transcription:
X \sim Bin(7, 0.3)
P(X=1)
P(X=2)
P(X<1)
P(X>1)
\mu_x
\sigma_x^2
Questions & Answers
QUESTION:
Let \(X \sim \operatorname{Bin}(7,0.3)\). Find
a. \(P(X=1)\)
b. \(P(X=2)\)
c. \(P(X<1)\)
d. \(P(X>1)\)
e. \(\mu_{x}\)
f. \(\sigma_{x}^{2}\)
Equation Transcription:
Text Transcription:
X \sim Bin(7, 0.3)
P(X=1)
P(X=2)
P(X<1)
P(X>1)
\mu_x
\sigma_x^2
ANSWER:
Problem 1
Let . Find
(a)
(b)
(c)
(d)
(e)
(f)
Step by Step Solution
Step 1 of 5
Given that
To find
It is known that for a discrete random variable following binomial distribution with parameters and , its probability mass function is defined as
(i)
Mean and variance of are defined by
(ii)
(iii)
For the given problem,
Then,
So, the value of is 0.2471