number 1 b How to know if two events ( A and D ) are independent or not independent in this intersction ? A frequency distribution for the ages of the 40 students is presented in the following Table.Age (yr)Frequency171811992072172223324426353613.One student is selected at random. Let's define the following events:A = event the student selected is under 21,B = event the student selected is over 30,C = event the student selected is in his or her 20s, andD = event the student selected is over 18.1. Determine the following events.a. E=(not D)b. F=(A & D)c. G= (A or D)d. H= (B or C)2. Using the data in the table, calculate the probabilities of these events: A,B,C,D,E,F,G and H.3. We consider tossing a coin four times:a. How many outcomes this experiment has?b. Draw the tree diagramc. List the outcomes constituting each of the following four events.A = event "exactly two heads are tossed",B = event "the first two tosses are tails",C = event "the first toss is heads",D = event "all four tosses come up the same"d. List the outcomes of the following events: (C&D); (not A); (B&C); (A or B)e. Calculate the probability of each of the event A,B,C and D.

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How to know if two events ( A and D ) are independent or not independent in this intersction

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

number 1 b How to know if two events ( A and D ) are independent or not independent in this intersction ?

A frequency distribution for the ages of the 40 students is presented in the following Table.
Age (yr)
Frequency
17
18
1
19
9
20
7
21
7
22
23
3
24
4
26
35
36
1
3.
One student is selected at random. Let's define the following events:
A = event the student selected is under 21,
B = event the student selected is over 30,
C = event the student selected is in his or her 20s, and
D = event the student selected is over 18.
1. Determine the following events.
a. E=(not D)
b. F=(A & D)
c. G= (A or D)
d. H= (B or C)
2. Using the data in the table, calculate the probabilities of these events: A,B,C,D,E,F,G and H.
3. We consider tossing a coin four times:
a. How many outcomes this experiment has?
b. Draw the tree diagram
c. List the outcomes constituting each of the following four events.
A = event "exactly two heads are tossed",
B = event "the first two tosses are tails",
C = event "the first toss is heads",
D = event "all four tosses come up the same"
d. List the outcomes of the following events: (C&D); (not A); (B&C); (A or B)
e. Calculate the probability of each of the event A,B,C and D.

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