I need help with questions 11-14 as well as reasoning behind those answers. Havi
ID: 3055656 • Letter: I
Question
I need help with questions 11-14 as well as reasoning behind those answers. Having a hard time comprehending.
True or False? In Lxe false. If it is false, rewrite it as a true statement. 7. You toss a coin and roll a die. The event "tossing tails a is a simple event. it will land heads up on the tenth toss is greater than 0s 9. A probability of 1o indicates an unusual event. 10. When an event is almost certain to happen, its comple Prob 8. You toss a fair coin nine times and it lands tails up each will be unusual event. Matching Probabilities In Exercises 11-14, match the event probability (a) 0.95 (b) 0.05 (c) 0.25 (d) 0 11. You toss a coin and randomly select a number from 0 to 9 Wi . What probability of tossing tails and selecting a 3? 12. A random number generator is used to select a number from 1 to 100. Wha is the probability of selecting the number 153? 13. A game show contestant must randomly select a door. One door doubles h money while the other three doors leave her with no winnings. What is th probability she selects the door that doubles her money? 14. Five of the 100 digital video recorders (DVRs) in an inventory are knom to be defective. What is the probability you randomly select an item thal not defective? USING AND INTERPRETING CONCEPTS Identifying a Sample Space In Exercises 15-20, identify th of the probability experiment and determine the number of out space. Draw a tree diagram when appropriate 15. Guessing the initial of a student's middle name le spa outcomes in the samp 16. Guessing a student's letter grade (A, B, C, D, F) in a cla 17. Drawing one card from a standardExplanation / Answer
11:
When you tossed a coin probability of getting a tail is
P(tail) = 0.5
The probability a 3 out of 10 possible digits is,
P(3) = 1 /10 = 0.10
The probability of tossing a tail and getting a 3 is
P(tail and 3)=P(tail)P(3) = 0.5 * 0.10 = 0.05
Correct option is (b).
12)
Since 153 is not in the range 1 to 100 so it is impossible to select 153 from the given random number generator. So
P(getting 153) = 0
Correct option is (d).
13)
Out of 4 doors, one door doubles his money so
P(winning door) = 1/ 4 = 0.25
Correct option is (c).
14)
Out of 100, 5 are defective and 95 are not defective so
P(non defective) = 95/ 100 = 0.95
Correct option is (a).