Let X ~ Bin(9, 0.4). Finda. P(X > 6)________________b. P(X

Chapter 4, Problem 2E

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QUESTION:

Let \(X \sim \operatorname{Bin}(9,0.4)\). Find


a. \(P(X>6)\)


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


c. \(P(2 \leq X<5)\)

d. \(P(2<X \leq 5)\)


e. \(P(X=0)\)


f. \(P(X=7)\)


g. \(\mu_{X}\)


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

Equation Transcription:





Text Transcription:

X Tilde Bin(9,0.4)

P(X > 6)

P(X greater than or equal to 2)

P(2 less than or equal to X < 5)

P(2 less than X less than or equal to 5)

P(X = 0)

P(X = 7)

mu_X

Sigma sub x^2

Questions & Answers

QUESTION:

Let \(X \sim \operatorname{Bin}(9,0.4)\). Find


a. \(P(X>6)\)


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


c. \(P(2 \leq X<5)\)

d. \(P(2<X \leq 5)\)


e. \(P(X=0)\)


f. \(P(X=7)\)


g. \(\mu_{X}\)


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

Equation Transcription:





Text Transcription:

X Tilde Bin(9,0.4)

P(X > 6)

P(X greater than or equal to 2)

P(2 less than or equal to X < 5)

P(2 less than X less than or equal to 5)

P(X = 0)

P(X = 7)

mu_X

Sigma sub x^2

ANSWER:

Answer :

Step 1 of 9:

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 = 9 and p = 0.4


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