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Chapter 5: Q 5.52. (page 209)

Draw a venn diagram portraying four mutually exclusive events.

Short Answer

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venn diagram portraying four mutually exclusive events.

Step by step solution

01

Step 1. Given information.

To draw a Venn diagram portraying four mutually exclusive events.

02

Step 2. If no two vents have the same outcomes, the four occurrences are considered to be mutually exclusive.

Let's imagine there are four mutually exclusive events: A,B,Cand DTheir Venn diagram will then look like this:

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Most popular questions from this chapter

Coin Tossing. When a dime is tossed four times , there are the following 16 possible outcomes.

Here, for example, HTTH represents the outcomes that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. 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.

Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).

Part (a) Determine a sample space for this experiment.

Part (b) Determine the events that the total number of heads is even.

Compute3!,7!,8!,and9!.

List the three requirements for repeated trials of an experiment to constitute Bernoulli trials.

A random variable X has mean 3.6. If you make a large number of repeated independent observations of the random variable X, the average value of those observations will be approximately .
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