Three cartridges - shooting
A shooter has three cartridges. He decided that he would shoot at the target until he hits for the first time. The probability of a hit at each shot is 0.6. The random variable X gives the number of cartridges fired.
a) Write the probability distribution of the random variable X and its distribution function.
b) Determine the mode of this random variable?
c) What is the probability that the shooter fires at most twice?
Your answer:
a) Write the probability distribution of the random variable X and its distribution function.
b) Determine the mode of this random variable?
c) What is the probability that the shooter fires at most twice?
Your answer:
Tips for related online calculators
You need to know the following knowledge to solve this word math problem:
statisticscombinatoricsGrade of the word problem
Related math problems and questions:
- Shooter hit probability
In the shooting competition, each shooter fires 5 shots. Shooter Muška will hit the target with one shot with a probability of 60%. What is the probability that he hits at least once out of five shots? - Target - shooting A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in succession, he misses only the first shot. Round the result to two decimal places.
- The shooter
The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting them is 0.2. The shooter fires until he hits the target for the first time, then stops firing. (a) What is the most likely nu - Shooter hit probability
The shooter fired 100 times at a target. He had four times as many hits as misses. What was the probability of a hit in percent? - Probability
In an election, 2,400,000 voters out of a total of 6,000,000 voted for party Z. Three voters are selected at random. Let the random variable ξ = {number of voters for party Z among the three selected}. Determine: a) the probability distribution, the distr - Probability
In an election, 2,400,000 voters out of a total of 6,000,000 voted for party Z. Three voters are selected at random. Let the random variable ξ = {number of voters for party Z among the three selected}. Determine: a) the probability distribution, the distr - Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot?
