Question

1. Maria goes to a shooting range. Based on her previous times at the shooting range, she believes she has a 53% chance of hitting the target. Suppose that as part of a training exercise, she has to take ten shots at a moving target.

1. What characteristics of this scenario indicate that you are working with Bernoulli trials?            (3 points)
2. What is the probability that she hits the 4^th target?    (1 point)
3. What is the probability that the first time she hits a target is not until her fourth shot?   (3 points)

Consider the question: What is the probability that she will hit 5 of the targets? Notice that this question is talking about any 5 of the targets and that there are many scenarios in which this could happen. Thus we should apply the binomial model to answer this question. There are two built-in commands for the binomial model in your graphing calculator, binompdf and binomcdf and they can be found by going to 2^nd DISTR and choose option A or B. Use one of these commands to answer the questions (d) through (h) below.

4. What is the probability that she will hit 5 targets?     (3 points)
5. What is the probability that she will hit at most 6 targets?     (3 points)
6. What is the probability that she will hit at least 4 targets?     (3 points)
7. What is the probability that she will hit between 4 and 7 targets (inclusive)?    (3 points)
8. What is the probability that she will hit at least one target?    (3 points)
9. What is the mean and standard deviation of the number of targets hit?    (4 points)

Answer 1

ANSWER:

a) Bernoulli distribution is a discrete probability

distribution in which the experiment tend to

have only two possible outcomes. In addition, it will have single trial of experiment. The

probability of success in Bernoulli distribution is denoted by p and the probability of failure is

denoted by q.

In this scenario, we will get two possible outcomes i.e. either she hits the target or she doesn't hit the target. Here are n= 10 trials so it becomes a binomial distribution.

From the given information,

Probability of success (hit the target =p) =0.53

Number of trials (n) =10

From Here part (d to i)

Value of probailities are approximate since calculated manually

NOTE:: I hope this answer is helpfull to you......**Please suppport me with your rating

**Please give me"LIKE".....Its very important for me......THANK YOU