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Sholpan [36]
3 years ago
6

. A bag contains 6 red and 3 black chips. One chip is selected, its color is recorded, and it is returned to the bag. This proce

ss is repeated until 5 chips have been selected. What is the probability that one red chip was selected?
Mathematics
2 answers:
Lostsunrise [7]3 years ago
8 0

Answer:

0.0412

Step-by-step explanation:

Total chips = 6 red + 3 black chips

Total chips=9

n=5

Probability of (Red chips ) can be determined by

=\frac{6}{9}

=\frac{2}{3}

=0.667

Now we used the binomial theorem

P(x) = C(n,x)*px*(1-p)(n-x).....Eq(1)\\          putting \ the \ given\ value \ in\  Eq(1)\ we \ get \\p(x=1) = C(5,1) * 0.667^1 * (1-0.667)^4

This can give 0.0412

blsea [12.9K]3 years ago
5 0

Answer:

The probability that one red chip was selected is 0.0053.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of red chips selected.

It is provided that the selections of the <em>n</em> = 5 chips are done with replacement.

This implies that the probability of selecting a red chip remains same for each trial, i.e. <em>p</em> = 6/9 = 2/3.

The color of the chip selected at nth draw is independent of the other selections.

The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 2/3.

The probability mass function of <em>X</em> is:

P(X=x)={5\choose x}\ (\frac{2}{3})^{x}\ (1-\frac{2}{3})^{5-x};\ x=0,1,2...

Compute the probability that one red chip was selected as follows:

P(X=1)={5\choose 1}\ (\frac{2}{3})^{1}\ (1-\frac{2}{3})^{5-1}

                =5\times\frac{2}{3}\times \frac{1}{625}\\\\=\farc{2}{375}\\\\=0.00533\\\\\approx 0.0053

Thus, the probability that one red chip was selected is 0.0053.

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ale4655 [162]

The amount of RENT forgot to write is $ 50.

<h3>What is Transaction?</h3>

A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.

Here, Total expected amount = $ 900

          Actual amount = $ 750

          Deposit forgot = $ 100

Amount of RENT = 900 - (750 + 100)

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Thus, The amount of RENT forgot to write is $ 50.

Learn more about Transaction from:

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3 0
2 years ago
Halle is hiking down into a canyon. She descends 3,000 ft in 1 3/4 hours. To the nearest foot, what number shows her descent per
GarryVolchara [31]
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3 0
3 years ago
Three friends each create 4 bags of starter bread dough. After ten days, each of those four bags is then divided into four more
Lapatulllka [165]

Answer:

55 days

Step-by-step explanation:

<u>Number of bags of dough is 192</u>

<u>You have to calculate the number of days.</u>

<em>After 10 days, 4 bags are divided into 4 more bags: 4 + 4 =8</em>

<em>After 20 days: 8 + 8 = 16 </em>

<em>After 30 days: 16 + 16 = 32</em>

<em>After 40 days: 32 + 32 = 64</em>

<em>After 50 days: 64 + 64 = 128</em>

After 55 days: 128 + 64 = 192 (5 days will be considered since it is doubled in 10 days and this time it is divided into half the amount)

Therefore, 55 days pass before 192 bags of dough are created.

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7 0
3 years ago
Needs to be in fraction form and simplified <br><br> 3 4/5 + 4 5/6 =? <br><br> 10 points
LenaWriter [7]

Answer:

259/30 or 8 19/30 depending on what format your teacher wants the answer

Step-by-step explanation:

First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number.  So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6.  Now in order to add fractions we need to get a common denominator.  The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator.  for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30.  Now we just add the numerators and simplify.  114/30+145/30=259/30

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0
3 years ago
Dorothy opens a savings account with $80 that earns 8.5% interest
Thepotemich [5.8K]

Answer:

$86.8

Step-by-step explanation:

Given that,

Principal, P = $80

Rate of interest, R = 8.5%

We need to find the money he will have in 1 year. As the interest is not compounded, it must be simple interest. The simple interest can be calculated by the formula,

I=\dfrac{PRT}{100}\\\\I=\dfrac{80\times 8.5\times 1}{100}\\\\=\$ 6.8

We know that,

Amount = Principal + interest

= $80 + $6.8

= $86.8

Hence, the amount will become $86.8.

8 0
3 years ago
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