CheAt a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .34.a. Find the probability that in a sample of 9 customers, none of the 9 will order a nonalcoholic beverage. (Round your answer to 4decimal places.)Probabilityb. Find the probability that in a sample of 9 customers, at least 6 will order a nonalcoholic beverage. (Round your answer to 4 decimalplaces.)Probabilityc. Find the probability that in a sample of 9 customers, fewer than 7 will order a nonalcoholic beverage. (Round your answer to 4decimal places.)Probabilityd. Find the probability that in a sample of 9 customers, all 9 will order a nonalcoholic beverage. (Round your answer to 4 decimalplaces.)Probability

Formula : Binomial distribution is given by Solution : a) Probability,p = 0.34 number of trial,n = 9 Let x be the random variable follows Binomial distribution. X~Binomial(n= 9 p= 0.34 ) Binomial distribution is given by where now = 0.0238 The required probability is 0.1102b) p(x≥ 6 )=1-p(x< 6 ) =1 - {p(x=0 )+p(x=1 )+.........+p(x= 5 )} =1- 0.9533 =0.0467 The required probability is 0.0467C) p(x< 7 )=p(x≤ 6 ) =p(x= 0 )+p(x= 1 )+.........+p(x= 6 ) =0.9906 The required probability is0.9906D) = 0.0001 The required probability is 0.0001