Question

Let x be a binomial random variable with n = 20 and p = 0.2. Find P(x < 5).

a) 0.782
b) 0.6296
c) 2.154
d) 0.4462

Answer 1

To find P(x < 5) for a binomial random variable with n = 20 and p = 0.2, use the binomial cumulative distribution function (CDF). Plugging in the values (20, 0.2, 4) into the binomcdf function yields approximately 0.6296.

Step-by-step explanation:

To find P(x < 5) where x is a binomial random variable with n = 20 and p = 0.2, we can use the binomial cumulative distribution function (CDF). The CDF calculates the probability of getting a value less than or equal to a certain number of successes. In this case, we want to find P(x < 5), so we can use the binomcdf function on a calculator. Plugging in the values (20, 0.2, 4) into the binomcdf function, we get a probability of approximately 0.6296. Therefore, the answer is option b) 0.6296.