James and Harry play baseball and each of them can score one goal with the probabilities of 0.4 and 0.3, respectively. Let Y be the number of goals scored by two boys together. (B) Find the mean and the standard deviation of Y.

James and Harry play baseball and each of them can score one goal with the probabilities of 0.4 and 0.3, respectively. Let Y be the number of goals scored by two boys together. (B) Find the mean and the standard deviation of Y.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: suppose that you hav e set of data that has a mean of 34 and a standard deviation of 6. a. is the…

A: Given: A data set has a mean of 34 and a standard deviation of 6.

Q: Naomi scores 39 on a test. The standard deviation is 6.00. Her z score is +1.5. What is the mean of…

A: given data x = 39 σ = 6z = 1.5μ = ?

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats…

A: From given data we have x=34,x¯=72.0s=14.9

Q: You have a score of X= 75 on a math exam. Themean score for the class on the exam is µ-85. Which of…

A: Solution

Q: The SAT scores of students are normally distributed with a mean of 950 and a standard deviation of…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A class of 30 62.171 students took a quiz worth 50 points. The standard deviation of the scores was…

A: Standard deviation of sample is given by

Q: How do you get the standard deviation if you have the variance? a. Take the reciprocal b. Take the…

A: Explanation:here asking how do you get the standard deviation In the below stop 2 give the correct…

Q: If your calculator finds both kinds of standard deviation, the sample standard deviation and the…

A: Solution-: If your calculator finds both kinds of standard deviation, the sample standard deviation…

Q: In a calculus class, Jack Hartig scored 7 on a quiz for which the class mean and standard deviation…

A: The question is about z scoresGiven :For student " J " :Raw score ( x1 ) = 7Mean score of the class…

Q: Solve this for me

A: The objective of this question is to find the z-scores of Chau's age and Brian's age relative to…

Q: Solve the problem. The probability that an individual is left-handed is 0.18. In a class of 90…

Q: Lauren is interested in determining if the children in her preschool lie more than the population.…

A: The mean of the population is given and the sample mean and sample standard deviation are given for…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Let "X" be the IQ score of the adults.

Q: how did you find the standard deviation to be 1.2. explain clearly?

A: Here we have to explain the how we get standard deviation is 1.2

Q: uan makes a measurement in a chemistry laboratory and records the result in his lab report. The…

A: Given: Sample size n=4 Standard deviation σ=10 milligrams

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: mean (μ)=1543standard deviation (σ)=320 Z- score is given as Z=x-μσ The z- score of 1970 is…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

Q: For an Economics test the mean score is 100 and the standard deviation is 10, and for an Accounting…

A: The mean and standard deviation of Economics are 100 and 10.

Q: student of the ninth grade with a total s, scored 75 in an exam in which the m E all students was 70…

A: Given: John Raw score (x1) = 75 Population meanμ1=70Population standard deviation σ1=2Sample size…

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: The raw score of Cade is 95.5. For Cade's version of the test, the mean, μ=64.7, and the standard…

Q: a. Which player had the higher average points when compared to the other players on his team?

Q: mar is trying out to be a firefighter. On the written exam, the mean of everyone who takes the test…

A: given data, μ=54.5σ=3.1Omar scores exactly 0.75 standard deviations above the mean z=0.75raw score…

Q: Show your solution: If Peter got a 79 on a Math Test with a mean score of 85 and a standard…

A: The z-score is calculated asz=x-μσ

Q: K Sub A professor is teaching two sections of a Calculus course, section A and section B. Assume…

A: Given:Section A:μ = mean = 76σ = standard deviation = 5 Section B:μ = mean = 75σ = standard…

Q: A data set lists weights (lb) of plastic discarded by households . The highest weight is 5.47 lb ,…

A: a. Consider that the mean and standard deviation of a random variable X are x̄ and s, respectively.…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Given data: the mean test score was 1550 and the standard deviation was 310. The test scores of four…

Q: One of the z-score formulas will help on this question. Scores on the SAT test are normally…

A: Given X ~ N (500, 100) P(Z<x -μσ) = PZ<700-50010 = P(Z<20)…

Q: A particular fruit's weights are normally distributed, with a mean of 696 grams and a standard…

Q: The average THC content of marijuana sold on the street is 10.8%. Suppose the THC content is…

A: Given, mean= 10.8 Standard deviation= 1 So, variance= 12=1 So, X~N(mean,variance)= N(10.8,1)…

Q: A survey asked recently retired people how many different employers they had during their working…

A: For the given probability distribution table, mean and standard deviation can be calculated as…

Q: The monthly electric bill for a local business had a mean of 1135. The values go from 1160 to 1300…

A: Given Information: mean=1135Minimum value=1160Maximum value=1300

Q: 2. The mean score for a group of Statistics tests is 82 and the standard deviation is 4. The mean…

A: The random variable S is the score in the statistic The mean score for a group statistics test is 82…

Question

James and Harry play baseball and each of them can score one goal with the probabilities
of 0.4 and 0.3, respectively. Let Y be the number of goals scored by two boys together.
(B) Find the mean and the standard deviation of Y.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both tests while a junior and scores 1130 on the SAT and 25 on the ACT. Compare the scores. The two scores are statistically the same. The two scores are statistically the same. You cannot determine which score is better from the given information. You cannot determine which score is better from the given information. A score of 25 on the ACT test was better. A score of 25 on the ACT test was better. A score of 1130 on the SAT test was better.
Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard deviation given by 29 lb. If 3 women are randomly selected, find the probability that they have a mean weight below 113 If 85 women are randomly selected, find the probability that they have a mean weight below 113
For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the variable is normally distributed and the standard deviation is 4 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use a graphing calculator. Round the answers to four decimal places. Higher than 72 beats per minute =
Betty’s medical score is 100 and her Z Score is 1.5. Bob’s medical score is 60 and his Z Score is -0.5. Find the Mean and Standard deviation of the collection of medical scores. The Mean is _______________ The Standard Deviation is ________________.
Solve this for me
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. The middle 70% of IQs fall between what two values? Write the probability statement.State the two values.x1= x2=
As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are normally distributed with a mean of 60 minutes and standard deviation of 7 minutes. What would a runner's finishing time have to be for his/her finishing time to be 1.6 standard deviations above the mean of 60 minutes? You must use the z- score formula and solve for X. Round to the 10ths place.
Use z scores to compare the given values. The tallest living man at one time had a height of 233 cm. The shortest living man at that time had a height of 89.9 cm. Heights of men at that time had a mean of 176.34 cm and a standard deviation of 5.47 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z= height that was more extreme. (Round to two decimal places.) and the z score for the shortest man is z = the man had the
The mean price of the fish in a pet shop is $2.93, and the standard deviation of the price is $0.59. If the owner decides to double the prices, what will be the mean and standard deviation of the new prices? The mean of the new prices will be $ and the standard deviation of the new prices will be $
Cameron had a score of 41 on a physics test. Originally, the mean score was 36 and standard deviation was 2. The professor decides to curve the test so that the new mean is 80 and the new standard deviation is 5. What is Cameron’s new score? Hint: See the last few Z-score lecture slides
с 4. Tanya took a quiz in her history class. The mean was 72 points, and the standard deviation was 10 points. Olga scored 86 points on a quiz in her science class, which had a mean of 74 points and a standard deviation of 5 points. What is the minimum score that Tanya should have earned to score relatively higher than Olga? 5. Letitia swam the girls 100m freestyle in 56.5 seconds. Ben swam the boys 100m freestyle in a time of 50.3 seconds. The mean time for the girls 100m at the swim meet was 58.6 seconds with a standard deviation of 2.3 seconds. The mean time for the boys 100m at the swim meet was 52.1 with a standard deviation of 1.8. Who swam the faster relative time? OCT ● O 27 ♫ tv G Search or type URL S MacBook Pro + A
Nathan takes the State Aptitude Assessment, which has a mean of 350 and a standard deviation of 50. His brother Kyle takes the Regional Readiness Test, which has a mean of 300 and a standard deviation of 45. If Kyle's score was 375, what is the cooresponding z score? a. +2.22 b. +1.00 c. +1.67 d. -1.67