Consider a binomial random variable with n = 8 and p = 0.3. Let x be the number of successes in the sample. Evaluate the probability. P(2 ≤ x ≤4) Step 1 A binomial experiment consists of n identical trials with probability of success p on each trial. The binomial formula that follows can be used to find the probability of exactly k successes in n trials, where q = 1 - p. P(x = k) = C₂^pkan-k= n! k!(n-k)! P²-k Here, we are to find P(2 ≤ x ≤ 4), which can be thought of as P(x = 2) + P(x = 3) + P(x = 4). We are given n = 8 and p = 0.3, so q = 1-p=1-0.3= calculating . The value of k will change with each probability statement. When calculating P(x = 2), k= 2. When
Consider a binomial random variable with n = 8 and p = 0.3. Let x be the number of successes in the sample. Evaluate the probability. P(2 ≤ x ≤4) Step 1 A binomial experiment consists of n identical trials with probability of success p on each trial. The binomial formula that follows can be used to find the probability of exactly k successes in n trials, where q = 1 - p. P(x = k) = C₂^pkan-k= n! k!(n-k)! P²-k Here, we are to find P(2 ≤ x ≤ 4), which can be thought of as P(x = 2) + P(x = 3) + P(x = 4). We are given n = 8 and p = 0.3, so q = 1-p=1-0.3= calculating . The value of k will change with each probability statement. When calculating P(x = 2), k= 2. When
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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