Question: Laura and Philip each fire one shot at a target. Laura has probability 0.5 of hitting the target, and Philip has probability 0.3. The shots

Laura and Philip each fire one shot at a target. Laura has probability 0.5 of hitting the target, and Philip has probability 0.3. The shots are independent.

a. Find the probability that the target is hit.

b. Find the probability that the target is hit by exactly one shot.

c. Given that the target was hit by exactly one shot, find the probability that Laura hit the target.

Step by Step Solution

★★★★★

3.42 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let L denote the event that Laura hits the target and let Ph be the even... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistics Engineers Scientists Questions!

We are given a number of darts. Suppose it is known that each time we throw a dart at a target, we have a probability of 1/4 of hitting the target. An experiment consists of throwing three darts at...

A marksman hits a target with probability .35. Estimate the probability of hitting the target from 30 to 40 times in 100 attempts.

A and B are involved in a duel. The rules of the duel are that they are to pick up their guns and shoot at each other simultaneously. If one or both are hit, then the duel is over. If both shots...

Target practice: Laura and Philip each fire one shot at a target. Laura has probability 0.5 of hitting the target, and Philip has probability 0.3. The shots are independent. a. Find the probability...

Lorez and Felipe each fire one shot at a target. Lorez has probability 0.5 of hitting the target, and Felipe has probability 0.3 . The shots are independent. a. Find the probability that the target...

Target practice: Laura and Philip each fire one shot at a target. Laura has probability0.2 of hitting the target, and Philip has probability0.3 . The shots are independent. Round your answers to four...

Question 1 Round answers to two digits after the decimal point. Given two events E and F with Pr(E) = 0.4, Pr(F) = 0.5, and Pr(EnF) = 0.3, a) Pr(E|F) = b) Pr(F|E) = c) Are E and F independent? (Enter...

10, Alain, Colleen, and Hugh each fire 1 shot at a target. The probability of hitting the target is 0.4 for Alain, 0.1 for Colleen, and 0.3 for Hugh, and the hits occur independently. a. If only 1...

1.(5 points)Use the binomial calculator for this problem. http://onlinestatbook.com/2/calculators/binomial_dist.html You are an artillery officer. Your gun crew has a 90% probability of directly...

STAT 200 Section 7970 Spring 2019 Quiz #2 1.(5 points)Use the binomial calculator for this problem. http://onlinestatbook.com/2/calculators/binomial_dist.html You are an artillery officer. Your gun...

If each member of the space truss can support a maximum force of 600 N in compression and 800 N in tension, determine the greatest force F the truss cansupport. 200 mm 200 mm 200 mm 200 mm 500 mm...

Briefly write out the path of your life, from birth to present day. include major events or circumstances that have affected you, and discuss how they have affected you. what people, events, and...

The business problem facing a consumer products company is to measure the effectiveness of different types of advertising media in the promotion of its products. Specifically, the company is...

30. Let X have the moment generating function MX(t). Show that (a) M(X+a) (t) eat MX(t). (b) MbX(t) MX(bt). (c) M(X+a)/b(t) e(a/b)t MX(t/b).

In each part of this problem, we have provided a scenario for a confidence interval. Decide whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the...

Dr. Thomas Stanley of Georgia State University has surveyed millionaires since 1973. Among other information, Stanley obtains estimates for the mean age, Î¼, of all U.S. millionaires....

From Problem 13, we know that "a 95% confidence interval for the mean age of all U.S. millionaires is from 54.3 years to 62.8 years." Decide which of the following sentences provide a correct...

how to find the probability that 2-5 players ejected by hook during a given week x. P(x) 0 0.10 1 0.18 2 0.23 3 0.25 4 0.14 5 0.07 6 0.03 mean = 0.14285714 sd = 0.081998839

Read the question and answer the questions that follow: Determine the weighted average cost of capital using ( 1 ) book value weights; and ( 2 ) market value weights based on the following...

3. You are assessing the average performance of two mutual fund managers with the Fama-French 3-factor model. The fund managers and the Fama-French factors had the following performance over this...