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vodomira [7]
4 years ago
15

Peter deposited $27 into his savings account, bringing the total to over $234. Write and solve an inequality to represent the am

ount of money in Peter’s account before the $27 deposit.
Mathematics
1 answer:
Anika [276]4 years ago
3 0
27+x=234
Subtract 27 from both sides
234 - 27 = 207
x=207
$207 is the amount of money originally in Peter's account.
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Answer:

Binomial distribution requires all of the following to be satisfied:

1. size of experiment (N=27) is known.

2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)

3. probability (p=0.14) remains constant through trials.

4. trials are independent, and random.

Binomial distribution can be used as a close approximation, with the  usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).

P(x)=C(N,x)*p^x*(1-p)^(n-x)

where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.

So we need the probability of <em>at most one defective</em>, which is

P(0)+P(1)

= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)

=1*1*0.0170 + 27*0.14*0.0198

=0.0170+0.0749

=0.0919


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