Consider a binomial distribution with 12 identical trials, probability of success of 0.3. Find the probability that x = 3 using the binomial tables.
Q. 2Consider a binomial distribution with 15 identical trials, and probability of success of 0.5. A machine cuts circular filters from large rolls of material. If 7.3 of the filters fail to meet specifications, use the normal approximation to the binomial to compute the probability that a sample of 100 of the filters will contain 5 or fewer that fail to meet specifications.
Q. 3Consider a binomial distribution with 15 identical trials, and probability of success of 0.5. Use the normal approximation to find the probability that x = 2.
Q. 4Consider a binomial distribution with 15 identical trials, and probability of success of 0.5. Find the probability that x = 2 using the binomial tables.
Q. 5If 15 of the population is left-handed, find the probability that in a class of 35 students that 3 or fewer are left-handed.
Q. 6Find the 90th percentile for a binomial distribution having 400 identical trials, and probability of success of 0.1.
Q. 7In a southern state, 5 of all individuals who drive automobiles are not properly licensed. Use the normal approximation of the binomial distribution to find the probability that among 200 randomly selected individuals, between seven and nine, inclusive, are not properly licensed.