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____ [38]
3 years ago
10

We roll a fair die repeatedly until we see the number four appear and then we stop. The outcome of the experiment is the number

of rolls.a. Describe a sample space Ohm and a probability measure P to model this situation. b. Calculate the probability that the number four never appears.
Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

0

Step-by-step explanation:

given that we roll a fair die repeatedly until we see the number four appear and then we stop.

the number 4 can appear either in I throw, or II throw or .... indefinitely

So X = the no of throws can be from 1 to infinity

This is a discrete distribution countable.

Sample space= {1,2,.....}

b) Prob ( 4 never appears) = Prob (any other number appears in all throws)

= \frac{5}{6} *\frac{5}{6} *\frac{5}{6} *\frac{5}{6} *...\\=(\frac{5}{6} )^n

where n is the number of throws

As n tends to infinity, this becomes 0 because 5/6 is less than 1.

Hence this probability is approximately 0

Or definitely 4 will appear atleast once.

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3 years ago
Mustafa’s soccer team is planning a school dance as a fundraiser. The dj charges $200 and decorations cost $100. The team deci
Kaylis [27]

Question is Incomplete;Complete question is given below.

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

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Answer:

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Step-by-step explanation:

Given:

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We need to write the equation to find the number of students for to attend the dance in order to make profit.

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Let the number of student be represented by 'n'.

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Profit to be made should be equal to Charges per student to attend the dance multiplied by number of students minus sum of Charges of DJ and Decoration charges.

framing in equation form we get;

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