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zaharov [31]
3 years ago
8

2. A statistics student plans to use a TI-84 Plus calculator on her final exam. From past experience, she estimates that there i

s 0.92 probability that the calculator will work on any given day. Because the final exam is so important, she plans to use redundancy by bringing in two TI-84 Plus calculators. What is the probability that she will be able to complete her exam with a working calculator? Does she really gain much by bringing in the backup calculator? Explain. [6 points]
Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

  1. P(≥1 working) = 0.9936
  2. She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.

Step-by-step explanation:

1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...

... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936

2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.

If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.

This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.

_____

My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)

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Jonathan bought a Gucci belt in Chinatown for $35.00. The belt was on sale for ⅓ off the regular price. Then, an additional 8% w
leonid [27]

Answer:

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount Jonathan paid for the belt = $ 35

Discount = 1/3 off the regular price

Coupon = additional 8% = 0.08

2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

We assume the question is asking for the original price of the belt, then we make this calculation:

Amount Jonathan paid for the belt = (Original price - Discount) - Coupon

Replacing with the values we know:

Original price = x

35 = (x - 1/3x) - 0.08x

35 = 2/3x - 0.08x

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x = 35/0.59

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<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

4 0
3 years ago
If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.
shutvik [7]

Answer:

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Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

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However, the requirement cannot be met when the 1s digit is other than zero.

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For some 3-digit number N and some 1s digit x, the 4-digit number will be

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Dividing this by N will give ...

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N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

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MrRissso [65]

Answer:

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Step-by-step explanation:

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3 years ago
Help help help help help
Alex777 [14]
Number 1 is 2.5, hope this helps a bit!
7 0
3 years ago
Read 2 more answers
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