The following table represents the joint probability distribution of the number of goals scored by team A and team B in a game of football. B=0 B=1 B=2 B = 3 PA (A = a) A = 0 0.08 0.16 0.07 0.12 A = 1 0.055 0.06 0.226 A = 2 A = 3 0.04 0.07 0.03 0.01 0.109 0.03 0.045 PB (B=b) 0.359 a. Determine the probability of A scoring one goal and B scoring two goals. Answer in fraction or in exact decimals b. What is the probability that the total number of goals scored by both teams is between two and three? Answer in fraction or in exact decimals c. Given that team B has already scored more than one goal, what is the probability of team A scoring three goals? Answer in exact fraction or rounded to at least 4 decimal places Activate Go to Settin

The following table represents the joint probability distribution of the number of goals scored by team A and team B in a game of football. B=0 B=1 B=2 B = 3 PA (A = a) A = 0 0.08 0.16 0.07 0.12 A = 1 0.055 0.06 0.226 A = 2 A = 3 0.04 0.07 0.03 0.01 0.109 0.03 0.045 PB (B=b) 0.359 a. Determine the probability of A scoring one goal and B scoring two goals. Answer in fraction or in exact decimals b. What is the probability that the total number of goals scored by both teams is between two and three? Answer in fraction or in exact decimals c. Given that team B has already scored more than one goal, what is the probability of team A scoring three goals? Answer in exact fraction or rounded to at least 4 decimal places Activate Go to Settin

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A factory manager collected data on the number of equipment breakdowns per day. From those data,…

A: w012P(W=w)0.650.200.015

Q: O A. No. The correlation between the expected z-scores and the observed data, does not exceed the…

A: z-score is the value decreased by mean, divided by the standard deviation. The z-score for a sample…

Q: The following table represents the number of free throws a typical NBA player makes in three…

A: Solution

Q: When parking a car in a downtown parking lot, drivers pay according to the number of hours or…

Q: Please help me answer

A: Question 1To find the variance, we need to use the formula below. Formula:Variance=∑[x2×P(x)]−μ2…

Q: 2. The number of patients visiting an emergency room during the graveyard shift (11:00pm-7:00pm),…

A: Given probability distribution: X 0 1 2 3 4 5 6 P(X=x) 0.05 0.20 0.25 0.20 0.10 0.15 0.05

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given: Population mean oxygen demand μ=9.2mg/L 95% confidence interval = 6.0 mg/L, 12.4 mg/L x is…

Q: When parking a car in a downtown parking lot, drivers pay according to the number of hours or…

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: From the provided information, Mean (µ) = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5…

Q: A survey was conducted to gather information on the coffee intake of residents in a specific…

A: Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a valid…

Q: Assume that the cholesterol levels among teenagers are Normally distributed with u (mean)= 170 and…

Q: A recent survey found the following distribution for the number of hours a person sleeps per night.…

A: We have to calculate probability that the person sleeps fewer than 7 hours per night from given…

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: Given N=800 P=0.17

Q: The number of homes sold by a realtor during a month has the following probability distribution:…

A: The expected value (mean) of a probability distribution is calculated by multiplying each possible…

Q: re to view the table of critical values. re to view page 1 of the standard normal distribution…

A: Correlation coefficient r =0.9966 Critical value = 0.468

Q: Answer asap accurately The following table gives the joint probability distribution of the speed of…

A: Let C denote the speed of a carand A denote the incidence of an accident (A)If A =0 when no…

Q: A textile manufacturing process finds that on average, three flaws occur per every 50 yards of…

A: Given that Average flaws occur per every 50 yard of material produced =3 X~Poisson(λ=3)

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given information μ = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5 mg/L As per empirical…

Q: Measurements for the length and width of rectangular plastic covers for CDs are rounded to the…

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given Information: Mean oxygen demand μ=9.3 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let…

Question

The following table represents the joint probability distribution of the number of goals scored by team A and team B in a game of football.
B=0
В -1
B=2
B = 3
РА (А — а)
A = 0
0.08
0.16
0.07
0.12
A = 1
0.055
0.06
0.226
A = 2
0.04
0.07
0.03
A = 3
0.01
0.109
0.03
0.045
PB (B = b)
0.359
a. Determine the probability of A scoring one goal and B scoring two goals.
Answer in fraction or in exact decimals
b. What is the probability that the total number of goals scored by both teams is between two and three?
Answer in fraction or in exact decimals
c. Given that team B has already scored more than one goal, what is the probability of team A scoring three goals?
Activate W
Answer in exact fraction or rounded to at least 4 decimal places
Go to Settings

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Solution a.

Solution b.

Solution c.

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Mean St. Dev. Distribution Males 23.5 in. 1.1 in. Normal Females 22.7 in. 1.0 in. Normal Use the data in the table for sitting adult males and females. These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Find the probability that a female has a back-to-knee length between 22.0 in and 24.0 in Warning! This question is not multiple choice! You are to fill in the blank with the correct answer. Write your answer in the form 0.1234
The police have estimated that there are twelve major accidents per day on a particular 10-mile stretch of a national highway. Suppose the incidence of accidents is evenly distributed on this 10-mile stretch of the highway. a. Find the probability that there will be fewer than eight major accidents in this 10-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. Find the probability that there will be more than two accidents in a 1-mile stretch of this highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability
The given table classifies auto accidents by survival status (S = survived, D = died) and seat belt status of the individual involved in the accident. Answer parts a-c Outcome D Total Belt 410,197 193,028 603,225 Yes 409,645 191,316 600,961 552 No 1712 Total 2264 a. Estimate the probability that the individual died (D) in the auto accident. P(D) 0.004 (Round to three decimal places as needed.) b. Estimate the probability that the individual died given that they (i) wore, (ii) did not wear a seat belt. (i) P(D/wore seat belt) (i) P(DIdidn't wear seat belt) (Do not round until the final answer. Then round to three decimal places as needed.)
The figure below represents the data from Table 3.6 in the book. It summarizes the lengths of hospital stays (days) for a sample 25 patients. Duration of hospitalization (days) 6. 1. 01-05 06-10 11-15 16-20 >20 What is the probability that someone stayed in the hospital at most 10 days? None of these choices are correct.
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.163 0.182 0.194 0.211 0.224 0.225 0.233 0.243 0.251 0.259 0.271 0.273 0.295 0.307 0.317 0.340 Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. No. The correlation between the expected z-scores and the observed data, normal population. does not exceed the critical value, Therefore, it is not reasonable to conclude that the data come from…
The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? Le
The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) Handgun through (e). Weapon Probability 0.478 Rifle 0.023 Shotgun Unknown firearm Knives Hands, fists, etc. Other 0.034 0.145 0.135 0.056 0.129
The table lists the smoking habits of a group of college students. Regular Smoker Heavy Smoker Total 173 222 395 Sex Non-smoker Man Woman Total 135 187 322 OA. 0.942 OB. 0.911 OC. 0.945 O D. 0.863 33 21 54 5 14 19 If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker. Round your answer to three decimal places. C
A survey of almost 44,000 two-child families yielded the accompanying table. The probability distribution of x, the number of boys in a two-child family is given below. Find E(x) and give a practical interpretation of its value. Gender Configuration Proportion D Girl-girl (GG) Boy-girl (BG) Girl-Boy (GB) 0.215 0.267 0.256 P(x) 0.215 0.523 0.262 Boy-boy (BB) 0.262 Choose the correct answer below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. If a very large number of households were sampled, on average, there would be E(x) = boys. O B. If a very large number of two-child households were sampled, on average, there would be E(x) = boys. of getting a family with a boy. %3D O C. If a very large number of two-child households were sampled, there would be a probability of E(x) = O D. In the sample of 44,000 households, each household had E(x) = boys.