Question

In: Math

Suppose a Department Chair randomly selects 5 new teaching assistants from a total of 20 applicants...

Suppose a Department Chair randomly selects 5 new teaching assistants from a total of 20 applicants - 11 boys and 9 girls. Let x be the number of girls who are hired. Find the mean and standard deviation of random variable x.

(a) μ = 2.75 and σ = 0.9770

(b) μ = 2.25 and σ = 0.9884

(c) μ = 2.75 and σ = 0.9884

(d) μ = 2.25 and σ = 0.9770

Solutions

Expert Solution


Related Solutions

Suppose an undergraduate-admissions committee rated 400 applicants and randomly chose 12 from those in the top...
Suppose an undergraduate-admissions committee rated 400 applicants and randomly chose 12 from those in the top 15 %. (i) Compute the probability that a person will be admitted given that he/she has the highest faculty rating among the 400 students. (ii) Compute the probability that a person will be admitted given that he/she has the lowest faculty rating. (b) In a production line, suppose 3 % of the products have Type A defects and 2 % of products have Type...
Problem 1: A Six Sigma Green Belt randomly selects two parts from a box containing 5...
Problem 1: A Six Sigma Green Belt randomly selects two parts from a box containing 5 defective and 15 nondefective parts. He discards the box if one or both parts are defective. Using what you’re learned in chapter 3, what is the probability that he will select: One defective part Two defective parts Reject the box
A manufacturer of insulation randomly selects 20 winter days and records the daily high temperature as...
A manufacturer of insulation randomly selects 20 winter days and records the daily high temperature as follows: 58,61,63,64,66,67,68,69,70,75, 76,77,77,78,79,81,82,86,85,87,88,92,93,94,99. Use as a first class 58 – 63. a. Construct a relative frequency distribution. b. Construct a cumulative frequency distribution. c. Construct a cumulative relative frequency distribution.                                                                                                                                                                                        
A manufacturer of insulation randomly selects 20 winter days and records the daily high temperature as...
A manufacturer of insulation randomly selects 20 winter days and records the daily high temperature as follows: 58,61,63,64,66,67,68,69,70,75, 76,77,77,78,79,81,82,86,85,87,88,92,93,94,99. Use as a first class 58 – 63. a. Construct a relative frequency distribution. b. Construct a cumulative frequency distribution. c. Construct a cumulative relative frequency distribution.
A call center randomly selects and records customer calls. Call handling times in minutes for 20...
A call center randomly selects and records customer calls. Call handling times in minutes for 20 calls are as follows: 6, 26, 8, 2, 6, 3, 10, 14, 4, 5, 3, 17, 9, 8, 9, 5, 3, 28, 21, and 4. Please calculate the 10th quartile, 90th quartile, median, Q1, Q3, sample mean, and sample standard deviation of call handling times.
Dr. Paul Oswiecmiski randomly selects 40 of his 20- to 29-year old patients. Below is a...
Dr. Paul Oswiecmiski randomly selects 40 of his 20- to 29-year old patients. Below is a frequency distribution of their Serum HDL cholesterol levels. HDL Cholesterol Frequency 20-29 1 30-39 0 40-49 6 50-59 9 60-69 14 70-79 10 A. what is the class width? B. Which is most true regarding the HDL cholesterol levels of these 40 patients? I. Mean>Median II. Mean< Median III. Mean=Median
In a large population, 3% have had a heart attack. Suppose a medical researcher randomly selects...
In a large population, 3% have had a heart attack. Suppose a medical researcher randomly selects two people. Let X represent the event the first person has had a heart attack. Let Y represent the event the second person has had a heart attack. Which of the following is true about the two events? X and Y are disjoint. X and Y are independent. None of the above are true. Both (A) and (B) are true. plese show expakin how...
Suppose that National Motors randomly selects a sample of n = 91 ZX-900s. The company records...
Suppose that National Motors randomly selects a sample of n = 91 ZX-900s. The company records the stopping distance of each of these automobiles and calculates the mean and standard deviation of the sample of n = 81 stopping distances to be ȳ = 57.8feet and s = 6.02feet. 1. Conduct hypothesis test H0 :μ=60, Ha :μ<60. Set α = 0.5. And calculate the p-value.
pediatrician wants to determine the relation between childs height and head circumference. She randomly selects 5...
pediatrician wants to determine the relation between childs height and head circumference. She randomly selects 5 children and measures height and head. A normal probability suggest the residuals are normally distributed. Height_(inches)_-_x Head_Circumference_(inches)_-_y 27.5 17.5 27 17.5 25 16.9 25.5 17.1 27.75 17.6 Test whether a linear relation exists between height and head circumference at a=0.01 level of significance. What is the null and alternative hypothesis
Question 5: Relevant information for decisions (20 marks in total) The development of a new pesticide...
Question 5: Relevant information for decisions (20 marks in total) The development of a new pesticide for the horticultural industry has been successful. David is now discussing with you, options to expand operations to include this new line of pesticide, Microcide. A key issue is whether to make one of the components of the pesticide, Factor X, or to buy it in. Demand for the next 12 months is expected to be 200,000 litres. Costs if FOL makes all the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT