Question

4.3.15 Question Help Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities A football player completes a pass 68.1% of the time. Find the probability that (a) the first pass he completes is the second pass, (b) the first pass he completes the first or second pass, and (c) he does not complete his first two passes

Answer 1

solution:- given that P=68.1. = 68.1 x Too P: 0-681 We know that P(x:-) . P (1-pyt! a) To find probability:- P(x - 2) = 0.681 (1-0.681347 20.2172 is the first :. probability P(x - 2) = 0.21727 6) To determine the first pass he completes Or second pass probability = P(x =1) + P(x-2) :P (1-P)11-1) + P (1-2)^2-1) • P+ P(1-P) : 0.68) + D-681(1-0.681) : 0.681 +0.2172 = 0.8982 complete ...probability - 0-8982 c) To determine the probability that he does not - his first two passes. i-e given by P(x)2) = 1-P(x52) 1-P [P(x=1) - P(x =2)]

- 1-P- P(1-P) : 1-068) - 0.681(1 -0.681) :|-0-681 – 0.2172 : 1-0.4638 = 0-5362 : probability -0.5362 |