Six shots are fired. The probability of hitting the target

naivlingr

naivlingr

Answered question

2021-10-01

Six shots are fired. The probability of hitting the target with one shot is equal to 0.7. Describe a probability mass function and a distribution function of a random variable X - the number of hits on target. Find its mathematical expectation and variance.

Answer & Explanation

i1ziZ

i1ziZ

Skilled2021-10-02Added 92 answers

Given data,
The probability of hitting the target with one shot is 0.7.
Step 1
As know that
Binomial distribution:
1) A binomial distribution may have the probability to hit the target or not.
2)Outcome in an experiment or survey that is repeated multiple times ( i. e. 6 hits)
3) When any condition have more than 1 outcome then it is considered under binomial.
4)The number of observations or trials is fixed.
The expression for the given condition is,
B(x;n,P)=nCx×Px×(1P)nx
Where:
b= binomial probability
x=a Discrete random variable
P= probability of a hits on target
n= number of hits on target
Step 2
Mathematical expression for expectation and variance
1) Mean = Expectation = np
Where
n= sample observation
P= probability of hits on target
2) variance =npq
Where
n= sample observation
P= probability of hits on target
q= Probability of hits not on target

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?