19. A package contains 12 resistons, 3 of which are defective. If 4 are selected

Question

19. A package contains 12 resistons, 3 of which are defective. If 4 are selected, find the probability of getting (a) No defective resistors (b) 1 defective resistor. (c) 3 defective resistors. 20. At a local clinic there are 8 men, 5 women, and 3 children in the waiting room. If three patients are randomly selected, find the probability that there is at least 1 child among them 21. For each statement, decide whether descriptive or inferential statistics is used. (a) In the year 2010, 148 million Americans will be enrolled in an HMO. (b) Expenditures for the cable industry were 5.66 billion dollars in 1996. (c) The median household income for people ages 25-34 is S35,888. (d) Drinking decaffeinated coffee can raise cholesterol levels by 7%. (e) Nine out of 10 on-the-job fatalities are men. 22. Classify each as nominal, ordinal, interval, or ratio level data. (a) Number of exams given in a statistics course. (b) Rating of word-processing programs as user-friendly. (c) Temperature of a sample of automobile tires tested at 55 miles per hour for six minutes. (d) Weights of suitcases on a selected commercial airline flight (e) Classification of students according to major field. 23. Classify each sample as random, systematic, stratified, or cluster (a) In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years. (b) Every seventh customer entering a shopping mall is asked to select his or her favorite store. (c) Nursing supervisors are selected using random numbers in order to determine annual salaries. (d) Every hundredth hamburger manufactured is checked to determine its fat content (e) Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year.

Explanation / Answer

Dear student, I am only answering the first question as per Chegg Guidelines., Please post questions separately.

If X is the number of defective resistors in the sample of 4

Then X follows binomial distribution with n=4 and p=0.25

(A) P(no defective)=P(X=0)=0.3164 (By binomial table)

(B) P(1 defective)=P(X=1)= 0.4219 (By binomial table)

(C) P(3 defective)=P(X=3)= 0.0469 (By binomial table)

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