Question

Consider a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.30. (For each answer, enter a number. Round your answers to three decimal places.) (a) Find P(r = 0). Correct: Your answer is correct. (b) Find P(r ≥ 1) by using the complement rule.

Answer 1

Considering a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.30.ythen the  by using the complement rule the P(r = 0)=0.942.

How do you write a binomial expression?

A binomial is a polynomial with the handiest terms. For example, x + 2 is a binomial, in which x and a pair of are separate terms. Also, the coefficient of x is 1, the exponent of x is 1 and a pair of is the regular here. Therefore, A binomial is a -time period algebraic expression that carries variable, coefficient, exponents and regular.

1. A P(R = 0), n = 8, p = 0.3
2. R simBinomial(n = 8, p = 0.3)
3. P(R = 0) = binomial(n,r) * p ^ r * (1 - p) ^ (n - r) = binomial(8,0) * (0.3) ^ 0 * (1 - 0.3) ^ (8 - 0) = 1 * (0.3) ^ 0 * (0.7) ^ 8 = 0.057648 approx0.057648 approx0.058
4. P(R = 0) = 0.058
5. Using excel feature BinomDist (0,8,0.3, false) or T1-83/84 feature binompdf (8,0.3,0), precise solution is 0.05764801
6. P(R >= 1), n = 8, p = 0.3
7. P(R >= 1) = 1 - P(R < 1 xss=removed xss=removed xss=removed xss=removed xss=removed xss=removed xss=removed>= 1) = 1 - P(R < 1>= 1) = 0.942
8. Using excel feature 1-Binom Dist (0,8,0.3, true) or TI-83/84 feature 1-binom cdf (8, 0.3, 0) , precise solution is 0.94235199

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