Answer: The mean of this binomial distribution is 53.36.
Step-by-step explanation:
We know that , the mean of this binomial distribution is given by :_
, where n = sample size or the number of possible trials .
p = probability of getting success in each trial.
We are given that , the probability of success in each of the 58 identical engine tests is p = 0.92.
i.e. n= 58
p=0.92
Then, the mean of this binomial distribution =
Hence , the mean of this binomial distribution is 53.36.
Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have .
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have
which is 3² = 9 written in logarithmic form.
This can also be switched around to read .
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
