Question Waiting for answers 11. A committee of 4 is chosen from a group of 8 women and 7 men. Determine the probability of each event. a) Only 1 man is on the committee. 2 mars b) The committee consists of women and 3 men. b) 2 marks c) At least 2 women are on the committee. c) 2 marks

12. In a town, of all cars are silver in colour. Two cars pass the gates of a school. The incomplete tree diagram gives the possible colour combinations. First car Second car Silver + Silver Not Silver Silver Not Silver -Not Silver (a) Copy and complete the tree diagram. [3 (b) Calculate the probability that (i) both cars are silver, only one car is silver.

The thickness of the triangular plate varies linearly with y from a value t0 along its base y 0 to 2t0 at y h. Determine the y-coordinate of the center of mass of the plate.  

5.) Given A = (10V2) ( ax + az ) and B = 3( ay + az), express the projection of B on A as a vector in the direction of A. 5.) Given A = (10V2) ( ax + az ) and B = 3( ay + az), express the projection of B on A as a vector in the direction of A.

The service department at a new car dealer checks for small dents in cars brought in for scheduled maintenance. It finds that 27 of 86 randomly-sampled cars have a dent that can be removed easily. The service department wants to estimate the percentage of all cars with these easily repaired dents. List and check the conditions, construct a plus-four confidence interval to estimate the percentage with 99% confidence, and write it in a complete sentence related to the scenario.

The Quantum Numbers for electron(s) in the valence shell of thallium (81 Tl) are: Select one: a. (6,0,0,+1/2) (6.1.-1,72) O b. (6.1.-1,72) (6,1,0,72) (6.1.1,72) C. (6.1.-1,12) Clear my choice

Consider each situation described below. Identify the population and the sample, explain what the parameter \( p \) or \( \mu \) represents, and tell whether the methods of this chapter can be used to create a confidence interval. If so, find the interval. (a) The service department at a new car dealer checks for small dents in cars brought in for scheduled maintenance. It finds that 22 of 87 cars have a dent that can be removed easily. The service department wants to estimate the percentage of all cars with these easily repaired dents. (b) A survey of customers at a supermarket asks whether they found shopping at this market more pleasing than at a nearby store. Of the 2,500 forms distributed to customers, 325 were filled in and 250 of these said that the experience was more pleasing. (c) A poll asks visitors to a Web site for the number of hours spent Web surfing daily. The poll gets 223 responses one day. The average response is three hours per day with \( s=1.5 \). (d) A sample of 1,000 customers given loans during the past two years contains 2 who have defaulted.