Approximately 10% of people in the world are left-handed, so P(a person is left handed) = 0.1. Suppose we have a class of 15 people and UHD is interested in how many left-handed desks the class will need, so we define a random variable X, the number of left-handed people in the class.
1. What distribution family does this situation belong to? What is (are) the parameter(s)?
2. What is the probability that none of the students will be left handed, P(X=0)?
3. What is the probability that at most 7 students will be left-handed, P(X ≤ 7)?
4. What is the expected number of left-handed students in class, E(X)?
1)
Let X denote the number of left-handed people in the class. Then
2)
Required probability =
3)
Required probability =
4)
Since
So,
Approximately 10% of people in the world are left-handed, so P(a person is left handed) =...
show your work 1, if right-handed 0, if left-handed. 10. Suppose the probability for a person to be right-handed is p. Let X = (a) What distribution does X follow? (b) A scientist selected a random sample of 1000 people. Let Y be the number of people who are right-handed, what distribution does Y follow? (c) This scientist found out that among the 1000 people, 100 are right-handed. He then estimated p to be 0.1. What theorem justifies his conclusion....
7. The probability that a randomly chosen student will be left-handed is.09: a) In a class of 108, find the probubility tht there will e(enactly8 lef- handed students b) The classroom has 12 desks designed for people who are left-handed. Use an appropriate approximate method to find the probability that there are enough for all the left-handed students.
Approximately 10% of all people are left-handed. Consider a grouping of fifteen people. Find the probability that: a) None are left-handed; b) At least seven are left-handed. 6.
NAME: 7. (15 points.) Left-handed people are more prone to accident-related injury than right-handed people Among a certain population of college students, the number of injuries X reported by a given student is a Poisson random variable; left-handers (L) report injuries at a handers (R) at a rate of 0.15 per year, 15% of the students are left-handed. rate of 0.25 per year, and right- (a) What is the probability that a randomly selected student is injured exactly twice this...
The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed. The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed. Using our 'rule of thumb; can we use normal approximation values for this sampling distribution? Yes + np = 22.5 and ng= (Click to view hint) What is the mean of the sample proportion? др (Click to hide...
fouTube Maps Your Turn The proportion of left-handed people in the general population is about 0.1. Suppose a random sample of 225 people is observed Using our "rule of thumb." can we use normal approximation values for this sampling distribution? No • * * and nq = 98 * (Click to view hint) What is the mean of the sample proportion? * (Click to view hint) np = 7 My = 768 What is the standard error? = 76 *...
Approximately 10% of all people are left-handed. Consider a grouping of fifteen people. (5.3.4) a) State the random variable. b) Write the probability distribution. c) Draw a histogram. d) Describe the shape of the histogram. e) Find the mean. f) Find the variance. g) Find the standard deviation.
5.3.4 Approximately 10% of all people are left-handed. Consider a grouping of fifteen people. a.) State the random variable. b.) Write the probability distribution. c.) Draw a histogram. d.) Describe the shape of the histogram. e.) Find the mean. f.) Find the variance. g.) Find the standard deviation.
In a survey of 300 people, approximately 15% of the people identified themselves as being left-handed. What are the mean, standard deviation, and shape of the distribution of thesample proportion p-hat of respondents who say they are left-handed? (3 points) Using the normal approximation without the continuity correction, sketch theprobability distribution curve for the distribution of p-hat. Shade equal areas onboth sides of the mean to show an area that represents a probability of .95,and label the upper and lower...
In a survey of 300 people, approximately 15% of the people identified themselves as being left-handed. What are the mean, standard deviation, and shape of the distribution of thesample proportion p-hat of respondents who say they are left-handed? (3 points) Using the normal approximation without the continuity correction, sketch theprobability distribution curve for the distribution of p-hat. Shade equal areas onboth sides of the mean to show an area that represents a probability of .95,and label the upper and lower...