Mathematics : asked on xojade
 19.07.2020

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment

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Step-by-step answer

24.06.2023, solved by verified expert
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Sample space is A person trying to gain access to a bank vault, №17886757, 19.07.2020 08:27

Step-by-step explanation:

Number of security doors = 3

Let P denote a successful pass and F denote a failed pass.

Sample space refers to a set of all possible outcomes.

If the first attempt to pass through a door is a failure, then the outcome is F.

If the second attempt to pass through a door is a failure, then the outcome is PF.

If the third attempt to pass through a door is a failure, then the outcome is PPF.

If the fourth attempt to pass through a door is a failure, then the outcome is PPP.

Sample space is A person trying to gain access to a bank vault, №17886757, 19.07.2020 08:27

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Mathematics
Step-by-step answer
P Answered by PhD

Sample space is \{F,PF,PPF,PPP\}

Step-by-step explanation:

Number of security doors = 3

Let P denote a successful pass and F denote a failed pass.

Sample space refers to a set of all possible outcomes.

If the first attempt to pass through a door is a failure, then the outcome is F.

If the second attempt to pass through a door is a failure, then the outcome is PF.

If the third attempt to pass through a door is a failure, then the outcome is PPF.

If the fourth attempt to pass through a door is a failure, then the outcome is PPP.

Sample space is \{F,PF,PPF,PPP\}

Mathematics
Step-by-step answer
P Answered by Master

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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