binomial experiment problem question

Question

Consider a binomial experiment with n = 6 trials where the probability of success on a single trial is p = 0.45. (Round your answers to three decimal places.)

(a) Find P(r= 0).

(b)Find P(r ≥ 1) by using the complement rule.

Answer 1

Since the binomial distribution is specified and since the probability mass function (PMF) is well known we will use the PMF for part a and complement rule for part b. This could be done with tables (such as the binomial tables in the CRC ) but I will use functions out of a TI-8X calculator.

bipdf(6,.45,0) = .02768. - this is the chance of getting 0 successes.

a) 0.028

The chance for getting all other outcomes (i.e. ≥ 1) is the total probability (1), minus the chance of getting exactly 0 successes.

b). 1 - .02768 = .972 (rounded)