Determine the probability p(1 or fewer) for a binomial experiment with trials and the success probability . Then find the mean, variance, and standard deviation.

Complete Question

Determine the probability P(1 or fewer) for a binomial experiment with n = 16 trials and the success probability p = 0.2. Then find the mean, variance, and standard deviation

The probability is

The mean is

The variance is

The standard deviation is  

Step-by-step explanation:

From the question we are told that

    The probability of success is  p = 0.2

     The sample size is  n =  16

Generally this experiment follows a binomial distribution  

i.e  

and the probability distribution function for binomial  distribution is  

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the the probability P(1 or fewer) is mathematically represented as

=>  

=>  

=>  

Generally the mean for this experiment is mathematically represented as

=>  

=>  

Generally the variance is mathematically represented as

=>  

=>  

Generally the standard deviation is mathematically represented as

=>    

hi

step-by-step explanation:

4

step-by-step explanation: