Worksheet: The Mean and Standard Deviation of a Binomial Distribution
In this worksheet, we will practice calculating the mean and standard deviation of a binomial random variable.
A binomial experiment has been set up to measure the number of successes, , of trials, where the probability of success in each trial is . State the expected number of successes.
Olivia set up the following binomial experiment to investigate the probability of drawing a face card (jack, queen, or king) from a pack of 52 cards. She performed 25 trials and each trial consisted of randomly selecting 1 of 52 cards. A success is counted as picking a face card.
Let be the number of face cards selected in 25 trials. Calculate .
Find the expected number of face cards selected in 25 trials.
Using her results, calculate the experimental probability of selecting a face card.