*****URGENT*****
1. P(X ≥ 8); n = 15, p = 0.6
2. At one large university, freshman accounts for 30% of the student body, if a group of 12
students are randomly chosen by the school newspaper to comment on textbook prices, what is
the probability that at most three of the students are freshmen?
*****URGENT***** 1. P(X ≥ 8); n = 15, p = 0.6 2. At one large university,...
1. If AA and BB are two mutually exclusive events with P(A)=0.3 and P(B)=0.6, find the following probabilities: a) P(A^c)= b) P(B^c)= c) P((A∪B)^c)= d) P(A∩B^c)= 2. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 104 students in the school. There are 43 in the Spanish class, 34 in the French class, and 24 in the German class. There are 17 students...
randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let 8 be the s event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that Pe n C)-0.1, and P(A n BnC)-0.08 A)-0.6,代8)-04, and (a) What is the probability that the select ed student has at least one of the three types of cards? (b) What is the probability...
Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B be the analogous event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(ANB) = 0.3, suppose that PC) = 0.2, P(ANC) = 0.13, PB N C) = 0.1, and P(ANBNC) = 0.07. (a) What is the probability that...
Please explain and show all work
3· Le t x represent the number of credit cards a student has. A random sample of 100 students at a large university was taken and the results are in the table below: Credit NumberRelative xStudentsPr) 12 P(x) Cards of Frequencyx .P(x) 45 25 10 TOTAL 100 1.00 a) Construct a probability distribution histogram and comment on its shape b) What is the probability a randomly selected student has at least two credit cards?...
looking for an explanation
15) As part of a study at a large university, data were collected on 224 freshmen computer science 1 (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): xi-average high school grade in mathematics (HSM) x2 = average high school grade in science (HSS) x3-...
Problem #3: Let A and B be two events on the sample space S. Then show that a. P(B) P(AOB)+P(AnB) b. If Bc A, then show that P(A)2 P(B) Show that P(A| B)=1-P(A|B) C. P(A) d. If A and B are mutually exclusive events then show that P(A| AUB) = PA)+P(B) Problem 4: If A and B are independent events then show that A and B are independent. If A and B are independent then show that A and B...
A poll of 222 students at a university reveals that 82 are taking a lab science course, and 58 are members of the Honors College, while 15 are taking a lab science and are members of the Honors College. Let Lthe event that a student is taking a lab science, and Hthe event that a student is a member of the Honors College. Complete parts (a) through (e) below. a. Display this data in a Venn diagram. Choose the correct...
According to a union agreement, the mean income for all senior-level assembly-line workers in a large company equals $500 per week. A representative of a women's group decides to analyze whether the mean income for female employees matches this norm. For a random sample of nine female employees, Y¯=410Y¯=410 and sY=90sY=90. a. Conduct a hypothesis test of whether the mean income of female employees differs from $500 per week. Include all assumptions, the hypotheses, test statistic, and p-value, and interpret...
Suppose that 20, 000 married adults in the United States were surveyed as to the number of children they have. The results are compiled and used as theoretical probabilities. Let X equal the number of children, with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01 P(x) x. P(x) Collapse Al 0.15 2 0.15 3 0.3 0.2 5 0.05 0.1 a. Complete the table above. b. Determine the expected value. EX]...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska city. The average is one snowfall every 3 days. a) What is the probability of 5 snowfalls in 2 weeks? Carry answer to the nearest ten-thousandths b) What is the probability of a snowfall today? Carry answer to the nearest ten-thousandths Question 2 After observing the number of children checking out books, a librarian estimated the following probability distribution of x,...