Question

In: Statistics and Probability

You have a one in ten chance of selecting the right outcome and a total of...

You have a one in ten chance of selecting the right outcome and a total of 25 trials.

  1. What is the probability that you will get three of fewer successes?
  2. What is the probability that you will get more than 7 successes?
  3. What is the standard deviation?
  4. What is the mean?
  5. What is the probability that you will get 4 or more but also no more than 8 successes?

Solutions

Expert Solution

The sample size of 9 trails will have a binomial distribution with parameters n and p.

In excel, the function =BINOM.DIST(number_s, trials, probability_s, cumulative) is used to calculate the cumulative probability.

where number_s is the number of success, trials is the total number of trial = 25, probability_s is the probability of success = 0.10 and cumulative is TRUE if the probability is cumulative.

1)

P(X<=3) = 0.7636

2)

P(X>7) = 1 - P(X<=6) = 0.0095

3)

4)

5)

P(3<=X<=8) = P(X<=8) - P(X<=3) = 0.2360

orchestra answered 2 years ago
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