A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment. n=9, p=0.45, x<4

The probability of  successes   P( x < 4 ) = 0.36138

Step-by-step explanation:

Step(i):-

Given 'n'=9

The probability of success 'p' = 0.45

                                            q = 1-p = 1-0.45 = 0.55

Let 'X' be the random variable in Binomial distribution

Step(ii):-

The probability of x successes in the n independent trials of the experiment

              = By using factorial notation

P( x < 4 ) = (0.55)⁹ + 9(0.45) (0.55)⁸ + 36 (0.45)² (0.55)⁷ +84 (0.45)³ (0.55)⁶

P( x < 4 ) = 0.004605+0.03391 + 0.1109855+ 0.21188

P( x < 4 ) = 0.36138

Final -

The probability of  successes   P( x < 4 ) = 0.36138

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step-by-step explanation:

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step-by-step explanation: