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Gekata [30.6K]
2 years ago
7

A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed v

ary and the amounts are normally distributed with a standard deviation of 0.015 liters. a. What is the probability a bottle will contain between 2.00 and 2.03 liters? b. What is the probability a bottle will contain less than 2 liters? c. 2% of the containers will contain how much cola or more?
Mathematics
1 answer:
sammy [17]2 years ago
5 0

Answer:

Step-by-step explanation:

Given that a  cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.

Std deviation =0.015 litres

X- litres contained in a bottle is N(2.02, 0.15)

Z score is obtained as z=\frac{x-2.02}{0.015}

a) probability a bottle will contain between 2.00 and 2.03 liters

=P(2<x<2.03) = P(-1.33<Z<2)

= 0.4082+0.4772

=0.8854

b) P(X<2) = P(Z<-1.33) =0.5-0.4082 = 0.0918

c) 2% of containers

|z|<0.11

X lies between 0.6883 and 3.352 l

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Answer:

P = 0,0012     or   P = 0.12 %

Step-by-step explanation:

We know for normal distribution  that:

μ ± σ  in that range we find 68.3 % of all values

μ ± 2σ      ⇒  95.5 %      and

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Fom problem statement

We have to find (approximately)  % of cars that reamain in service between 71 and 83 months

65 + 6 = 71                ( μ + σ )     therefore 95.5 % of values are from 59 and up to 71  then by symmetry   95.5/2  =  49.75 of values will be above mean

Probability between 65 and 71 is  49.75 %

On the other hand 74 is a value for mean plus 1, 5 σ  and

74 is the value limit for mean plus 1,5 σ and correspond  to 49,85 (from z=0 or mean 65).

Then the pobabilty for 83 have to be bigger than 49.85 and smaller than 0,5 assume is 49.87

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3 years ago
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Answer:

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As per unitary method, calculation been done to find the value of single unit  from the value of multiple units.

So, she is dividing the total number of phone activated by number of minutes taken to activate to find phone activate in one minute.

Step-by-step explanation:

Here is the correct question: Meg wants to find how many phones the company activated in one minute. Explain why meg can use 15000 divided by 50 to  find the answer.

As per unitary method, calculation been done to find the value of single unit  from the value of multiple units.

Therefore, in the above question Meg knew the number of total phone activated by company in 50 minutes, which is 15000.

Now, she want to find how many phones the company activates in one minute.

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3 years ago
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Answer:

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Step-by-step explanation:

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we need to subtract the amount that he has left from

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the numerator has to be the same, so how many lots of 4 can go into 5 without a remainder? it is 1

4 × 1 = 4

1 is left over, so the numerator is 1

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1 \frac{1}{4}

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