# Hotmath

You guess the answers to 6 questions on a multiple–choice test with 5 possible responses to each question. Describe a trial and a success for the above situation. Find the number of trials. Find the probability of answering 4 questions correctly.

There are 40 questions for which there are 4 choices for each. Find the probability of randomly guessing 2 correct answers out of it.

There are 40 questions for which there are 4 choices for each. Find the probability of randomly guessing 20 correct answers out of it.

The probability of getting tails when tossing a biased coin is 60%. If you toss the coin 3 times, what is the probability of getting 2 tails and 1 head?

Find the probability of having not more than 2 successes in 4 trials, if the probability of success is 0.4.

Find the probability of having not more than 5 successes in 10 trials, if the probability of success is 0.75.

Draw a histogram of the binomial distribution that shows the probability of exactly
*
k
*
successes for a binomial experiment which consists of 5 trials with probability 0.6 of success on each trial. Also find the most likely number of successes.

Draw a histogram of the binomial distribution that shows the probability of exactly
*
k
*
successes for a binomial experiment which consists of 10 trials with probability 0.077 of success on each trial. Also find the most likely number of successes.

*
n
*
= 10

*
p
*
= 0.077