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Feliz [49]
1 year ago
9

A binomial probability experiment is conducted with the given parameters. compute the probability of x successes in the n indepe

ndent trials of the experiment. n=9, p=0. 3,
Mathematics
1 answer:
larisa86 [58]1 year ago
3 0

If the probability of obtaining success is 0.3 and the value of n is 9 then the probability at the value of x be 3 is 0.3811.

Given that the value of n is 9 and the value of p is 0.3.

We are required to find the probability when the value of x is equal to 3.

Probability is the calculation of chance of happening an event among all the events possible.It lies between 0 and 1.

Probability=Number of items/total items.

Binomial probability is basically the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes.

(a+b)^{n}=nC_{0}a^{0} b^{n-0}  +nC_{1}a^{1} b^{n-1} +................nC_{n}a^{n} b^{0}

We have to find the value when n=9, p is 0.3 and r=3.

=9C_{3} (0.3)^{3} (1-0.3)^{6}

=9!/3!6!*0.027*0.16807

=84*0.00453789

=0.381182

Hence if the probability of obtaining success is 0.3 and the value of n is 9 then the probability at the value of x be 3 is 0.3811.

Learn more about probability at brainly.com/question/24756209

#SPJ4

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​One-third of a number is 1 more than ​one-fourth of the same number.<br> What is the number?
konstantin123 [22]

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If this does not immediately come to mind, you can solve for the number, x:

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7 0
3 years ago
Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He
charle [14.2K]

Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = \frac{30}{100}x=0.3x = 0.3x

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = \frac{30}{100}x=0.3x

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal  30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = \frac{15}{100}x=0.15x

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400

Hence Chan's Bonus amount was $2400.

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3 years ago
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