Question

In: Statistics and Probability

suppose that you are in a class of 18 students and It is assumed that 15%...

suppose that you are in a class of 18 students and It is assumed that 15% of the population is left handed.
a. compute probability that exactly 5 students are left handed( 3 decimal places)
b. probability that at most 4 students are left handed (3 decimal places)
c. probability that at least 6 students are left handed (3 decimal places)

Solutions

Expert Solution

Solution:- Given that n = 18, p = 0.15

a. P(X = 5) = 0.0787

b. P(X <= 4) = 0.8794

c. P(X >= 6) = 0.0419


Related Solutions

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to...
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected. I need explanation and calculation, the calculation and explanation should equal atleast 300 words, nothing less and nothing irrelevant please, otherwise i will give thumbs down
Data set for ages of students in stats class: 17, 18, 18, 18, 18, 18, 18,...
Data set for ages of students in stats class: 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19,19, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 25, 25, 25, 26, 26, 27, 28, 28, 28, 28, 29, 29, 32, 36, 42 1) Find the standard deviation of the ages and use it to calculate a 95% confidence interval for the true mean age (be...
Data set for ages of students in stats class: 17, 18, 18, 18, 18, 18, 18,...
Data set for ages of students in stats class: 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19,19, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 25, 25, 25, 26, 26, 27, 28, 28, 28, 28, 29, 29, 32, 36, 42 1) Suppose we are trying to use this sample to infer something about the ages of all PSU students. Explain why this is...
Suppose that there is a class of n students. Homework is to be returned to students,...
Suppose that there is a class of n students. Homework is to be returned to students, but the students’ homework assignments have been shuffled and are distributed at random to students. a) Calculate the probability that you get your own homework back. (I think it is 1/n) b) Suppose that I tell you that another student, Betty, got her own homework. Does this change the probability that you get your own homework, and if so what is the new probability?...
Suppose that there is a class of n students. Homework is to be returned to students,...
Suppose that there is a class of n students. Homework is to be returned to students, but the students’ homework assignments have been shuffled and are distributed at random to students. a) Calculate the probability that you get your own homework back. (I think it is 1/n) b) Suppose that I tell you that another student, Betty, got her own homework. Does this change the probability that you get your own homework, and if so what is the new probability?...
A class of 40 students, 18 are males and 22 are females. For the final examination,...
A class of 40 students, 18 are males and 22 are females. For the final examination, 3 males and 5 females achieved a letter grade of A. What is the probability that a randomly selected student from the class achieved letter A grade or is a female student? Select one: a. 27/40 b. 25/40 c. 13/30 d. 30/40 e. 22/40 Suppose it is known that 11% of Canadian are left handed. In a random sample of 500 Canadian, what is...
There are 23 people in this MA131 class and 4 students are male. Suppose you randomly...
There are 23 people in this MA131 class and 4 students are male. Suppose you randomly select 2 students without replacement. Formulas are enough to receive credit, no need to provide a decimal answer. (a) What is the probability of both students being male? (b) What is the probability that at least one student is male?
A math class consists of 28 students, 13 female and 15 male. Three students are selected...
A math class consists of 28 students, 13 female and 15 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males...
Consider a Math class with 15 female students and 14 male students. a) How many different...
Consider a Math class with 15 female students and 14 male students. a) How many different 5 people committees with exactly 3 females and 2 males are possible? Justify your answer b) How many different 5 people committees with representation of both genders are there? Justify your answer c) Suppose that two of the students refuse to work together. How many different 5 people committees are possible? Justify your answer d) How many different ways to arrange them in a...
Our class has 35 students in it. Ten students are nursing majors, 15 said ice cream...
Our class has 35 students in it. Ten students are nursing majors, 15 said ice cream was their favorite dessert and three students are nursing majors AND said ice cream was their favorite dessert. a. How many students are nursing majors, but have a favorite dessert that is NOT ice cream? (hint, the 10 nursing majors includes the three who love ice cream.) (1 point) b. Draw a Venn Diagram (or other suitable representation) of this situation and then answer...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT