contestada

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials andthe probability of obtaining a success. Round your answer to four decimal places.P(X27). n = 10. p = 0.3

Assume the random variable X has a binomial distribution with the given probability of obtaining a success Find the following probability given the number of tr class=

Respuesta :

Given

n = 10, p = 0.3

Find

[tex]P(X\ge7)[/tex]

Explanation

Required probability =

[tex]P(X\ge7)=P(X=7)=P(X=8)=P(X=9)=P(X=10)[/tex]

so ,

[tex]P(X=7)=^{10}C_7(0.3)^7(0.7)^3=0.0090[/tex]

similarly we find the other values.

hence ,

[tex]P(X\ge7)=0.0106[/tex]

Final Answer

Therefore the probability of obtaining a success is 0.016

Otras preguntas