01 76 38 08 47
Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

  1. Home
  2. 12th grade
  3. Statistics & Probabilities
  4. Exercise : Identify situations that fit the binomial distribution model

Identify situations that fit the binomial distribution model Statistics & Probabilities

Mary has a bag with 8 tickets : 3 are red and 5 are blue. She picks 5 tickets, one at a time, and places them back in the bag each time. She counts the number of red tickets she picks.
Does this situation fit the binomial model ?

We roll a die 9 times and count how many times we get 6.
Does this situation fit the binomial model ?

In a standard card deck, we pull out ten cards one by one without replacing them and count the number of aces.
Does this situation fit the binomial model ?

The probability that an archer hits a target is 0.7. He shoots 15 times and counts the number of times that he hits the target.

Does this situation fit the binomial model ?

We flip two coins simultaneously 10 times and count the number of times that two heads come up.
Does this situation fit the binomial model ?

In a penalty shoot-out in a soccer match, each team takes turns shooting 5 penalty kicks. Assume that the probability that our goal keeper saves a penalty is 0.2.
Does this situation fit the binomial model ?

We roll a die 20 times. We count the number of times that the number we get is greater than the one in the previous roll (we don't count the first roll).
Does this situation fit the binomial model ?

See also
  • Course : Probability distributions
  • Exercise : Determine the expected value for a game of chance
  • Exercise : Determine P(X=k) for a certain k and for X following a given binomial distribution, using the formula
  • Exercise : Determine P(-k≤X≤k) when X follows the standard normal distribution
  • Exercise : Determine P(a≤X≤b) when X follows any normal distribution and a and b are given
  • Exercise : Determine a such that P(-a≤X≤a)=b, when X follows the standard normal distribution and b is given
  • support@kartable.com
  • Legal notice

© Kartable 2025