Let X ? Bin(7, 0.3). Finda. P(X = 1)________________b. P(X

Chapter 4, Problem 1E

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QUESTION:

Let \(X \sim \operatorname{Bin}(7,0.3)\). Find


a. \(P(X=1)\)


b. \(P(X=2)\)


c. \(P(X<1)\)


d. \(P(X>4)\)


e. \(\mu_{X}\)


f.
\(\sigma_{X}^{2}\)

Equation Transcription:




Text Transcription:

X Tilde Bin(7,0.3)

P(X = 1)

P(X = 2)

P(X < 1)

P(X > 4)

mu_X

Sigma sub 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. \(P(X>4)\)


e. \(\mu_{X}\)


f.
\(\sigma_{X}^{2}\)

Equation Transcription:




Text Transcription:

X Tilde Bin(7,0.3)

P(X = 1)

P(X = 2)

P(X < 1)

P(X > 4)

mu_X

Sigma sub x^2

ANSWER:

Answer :

Step 1 of 7:

Let X follows binomial distribution with probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

We have binomial distribution with n = 7 and p = 0.3


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