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Chapter 5: Q 5.45. (page 209)

Constract a venn diagram representing the event.

Part (a) (A (not B)).

Part (b) ((A or B) & (not(A & B)))

Short Answer

Expert verified

Part (a) (A (not B)).

Part (b) ((A or B) & (not(A & B)))

Step by step solution

01

Part (a) Step 1. Given information.

The following is the supplied statement:

The venn diagram of (A (not B))

02

Part (a) Step 2.  The representation of A&not B.

The event is depicted in a Venn diagram. (A (not B))

The shaded zone (brown colour) below represents the event.

03

Part (b) Step 1. Given information.

The following is the supplied statement:

Draw the venn diagram of ((A or B) & (not (A &B))).

04

Part (b) Step 2.  The representation of A or B&notA&B.

The event is depicted in a Venn diagram. ((A or B) & (not (A &B))).

The shaded zone (Brown colour) below represents the event.

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Most popular questions from this chapter

A bowl contains 12 poker chips 3 red , 4 white and 5 blue. One of these poker chips is selected at random from the bowl. Let B denote the event that the chips is selected is blue. Find the probability that a blue chips is selected, and express your answer in probability notation

An ordinary deck of playing cards has 52 cards. Three are four suits_ spade heart , diamond and club with 13 card in each suit. Spade and clubs are black heart and diamond are red. One of these cards is selected at random. Let R denote the event that a red is chosen . Find the probability that a red card is chosen, and express your answer in probability that a red card is chosen and express your answer in probability natation

Age and senators. According to the congressional directory, the official directory of the U.S Congress prepared by the Joint Committee on printing the age distribution for senators in the U.S Congress as of fall 2013, is as shown in the following table.

Suppose that a U.S senator is selected at random. let

A = event the senator is under 50,

B = event the senator is in his or her 50s,

C = event the senator is in his or her 60s, and

S = event the senator is under 70.

Part (a) Use the table and the f/N rule to find P(S).

Part (b) Express event S in term of event A,B and C

Part (c) Determine P(A), P(B) and P(C).

Part(d) Compute P(S), Using the special addition rule and your answers from part (b) and part(c) Compare your answer with in parts (a)

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Part (a) Find and interpret the mean of the random variable.

Part (b) Obtain the standard deviation of the random variable by using one of the formulas given in definition 5.10

Part (c) Construct a probability histogram for the random variable, locate the mean: and show one, two, and three standard deviation intervals.

Persons per Housing Unit. From the document American Housing Survey for the United States, published by the U.S. Census Bureau, we obtained the following frequency distribution for the number of persons per occupied housing unit, where we have used "7" in place of 鈥�7 or more.鈥� Frequencies are in millions of housing units.

Person1234567
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For a randomly selected housing unit, let Y denote the number of persons living in that unit.

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c. Determine P(Y = 3); interpret in terms of percentages.

d. Determine the probability distribution of Y.

e. Construct a probability histogram for Y.
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