On a certain day,500 students are cross classified according to age groups and mars scored in...

On a certain day,500 students are cross classified according to age groups and mars scored in the quiz

		age group
marks		below 81	18-21	22 plus
	less than 51	30	31	25
	51-70	60	40	46
	71-90	80	20	100
	91-100	26	2	40

a)state and explain any two non- mutually exclusive events.

b)state and explain any two mutually exclusive events

c) Calculate the probability that a randomly selected student:

i) Scored 95%

ii)is aged 23 years

iii) is aged 1 years or scored 75%.

iv) scored 44 % and is aged 19 years. ( 3 marks)

d. Given that a randomly selected student scored 60%, calculate the probability that the student is aged 20 years.

Expert Solution

orchestra answered 2 years ago

At a Midwestern University the 450 students in the Business School were classified according to their...

At a Midwestern University the 450 students in the Business School were classified according to their major within the business school and their gender. The results are: Female Male Total Accounting 68 56 124 Administration 91 40 131 Economics 5 6 11 Finance 61 59 120 Other 39 25 64 Total 264 186 450 Complete a table for marginal distribution. Complete a table for Conditional distribution

At a Midwestern University the 386 students in the Business School were classified according to their...

At a Midwestern University the 386 students in the Business School were classified according to their major within the business school and their gender. The results follow. Female Male Accounting 68 56 124 Administration 91 40 131 Economics 5 6 11 Finance 61 59 120 225 161 386 Find the probability that the selected student is a finance major and a male. b. Find the probability that the selected student is an administration major or a finance major. c. Find...

Below are data for the number of students in each of four age groups that are...

Below are data for the number of students in each of four age groups that are enrolled in several local schools: Age Group Franklin School Lowell Public School JeanneD’arc School International School Toddlers (1 – 4 yrs.) Pre-adolescents (5 - 8 yrs.) Adolescents (9 - 12 yrs.) Teens (13 - 18 yrs.) 0 56 131 0 36 52 51 64 0 24 98 111 34 41 52 69 Using the included data file and SPSS, create a separate Pie Chart...

Genetics: According to genetic theory, the blossom color in the second generation of a certain cross...

Genetics: According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white. Each plant has a probability of 3/4 of having red blossoms, and the blossom colors of separate plants are independent. You are testing 10 pea plants for their blossoming behavior. a. Explain why the event “having red blossom” in this specific context is binomial using the four characteristics of a binomial setting. b. What is the...

Each person in a representative sample of 446 college students age 18 to 24 was classified...

Each person in a representative sample of 446 college students age 18 to 24 was classified according to age and to the response to the following question: "How often have you used a credit card to buy items knowing you wouldn't have money to pay the bill when it arrived?" Possible responses were never, rarely, sometimes, or frequently. The responses are summarized in the table. Age 18 to 20 Age 21 to 22 Age 23 to 24 Never 73 62...

1. The mean age of College students is 25. A certain class of 33 students has...

1. The mean age of College students is 25. A certain class of 33 students has a mean age of 22.64 years. Assuming a population standard deviation of 2.87 years, at the 5% significance level, do the data provide sufficient evidence to conclude that the mean age of students in this class is less than the College mean? a. Set up the hypotheses for the one-mean ?-test. ?0: ??: b. Compute the test statistic. Round to two decimal places. c....

Explain the roles society plays in increasing the risk of delinquency for certain groups according to...

Explain the roles society plays in increasing the risk of delinquency for certain groups according to conflict theorists and labeling theories. Provide your thoughts regarding at-risk groups and provide examples to support your rational.

The table below contains information from a survey among 499 participants classified according to their age...

The table below contains information from a survey among 499 participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample...

The mean weight of 500 students at a certain college is 151 lb and the standard...

The mean weight of 500 students at a certain college is 151 lb and the standard deviation is 15 lb. Assume that the weights are normally distributed. a.) How many students weigh between 120 and 155 lb? (ANSWER IN WHOLE NUMBER) b.) What is the probability that randomly selected male students to weigh less than 128 lb? (ANSWER IN 4 DECIMAL NUMBER)

Divide the data into three groups according to age: under 25, 26 to 49, and over...

Divide the data into three groups according to age: under 25, 26 to 49, and over 50. Use ANOVA to test the claim that all three of these groups have the same mean balance on their Visa card. Be sure to write down the mean and standard deviation for each group! Age <25 26-49 over 50 n = n = n = x = x...

Question