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anzhelika [568]
3 years ago
11

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending m

achine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be​ rejected? Round your answer to two decimal places.

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

  1.94%

Step-by-step explanation:

The desired percentage can be found using an appropriate calculator or spreadsheet. A nice on-line calculator is shown in the attachment.

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Approximately 80,000 marriages took place in the state of New York last year. Estimate the probabilitythat for at least one of t
lilavasa [31]

Answer:

a. 0.45 b. 1

Step-by-step explanation:

We will be using Poisson Approximation of Binomial because n = 80,000 is large and probability (<em>p) </em>is very small.

We calculate for (a) as follows:

The probability that both partners were born on April 30 is

<em>p </em>= 1/365 X 1/365

<em>p </em>= 1/133,225

<em>p </em>= 0.00000751

Using Poisson Approximation, we have:

λ = n<em>p</em>

λ = 80,000 X 0.00000751

λ = 0.6

We use λ to calculate thus:

P (X \geq 1) = 1 - P ( X = 0)

              = 1 - e^-λ

              = 1 - e^-0.6

              = 0.451

There is a 45.1% probability that, for at least one of these couples, both partners were born on April 30.

(b) To calculate the probability that both partners celebrated their birthday on the same day:

<em>p </em>(same birthday) = 365 X 1/365 X 1/365

                             = 1/365

λ = n<em>p</em>

λ = 80,000 X 1/365

λ = 219.17

P (X \geq 1) = 1 - P ( X = 0)

= 1 - e^-λ

= 1 - e^-219.17

≈ 1

There is almost 100% probability that, for at least one of these couples, both partners celebrate their birthday on the same day of the year.

7 0
3 years ago
What's the position of nine in the number 932,805
zheka24 [161]
It would be in the
Hundred thousands
5 0
2 years ago
Read 2 more answers
Is (8+√2)(8-√2) Rational or irrational no need to explain why
MA_775_DIABLO [31]

Irrational

==========%%%%%%%%++++++++

3 0
3 years ago
Mrs Andrew's pays $125. For a hair cut. If she gives a 25% tip, how much will she pay
belka [17]

Answer:

$156.25

Step-by-step explanation:

25% of 125 is 31.25. So 125+31.25 is 156.25.

4 0
2 years ago
Help, I am unsure about what to do exactly
noname [10]
You plug in number for number getting 194.8 which is equal to 2931
4 0
2 years ago
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