A(n) = -6 - 4(n -1) find the 4th term in the sequence.
1 answer:
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I’m pretty sure this is right:
Answer:
a)
<em> The probability that both will be hopelessly romantic is </em>
<em> P(X = 2) = 0.0361 </em>
<em>b) </em>
<em>The probability that at least one person is hopelessly romantic is</em>
<em> P( X>1) = 0.3439</em>
<u>Step-by-step explanation:</u>
a)
<em> Given data population proportion 'p' = 19% =0.19</em>
<em> q = 1-p = 1- 0.19 =0.81</em>
<em> Given two people are randomly selected</em>
<em> Given n = 2</em>
Let 'X' be the random variable in binomial distribution
<em>The probability that both will be hopelessly romantic is </em>
P(X = 2) = 1 × 0.0361
<em> The probability that both will be hopelessly romantic is </em>
<em> P(X = 2) = 0.0361 </em>
<em>b) </em>
<em>The probability that at least one person is hopelessly romantic is</em>
<em> P( X>1) = 1-P(x<1)</em>
<em> = 1 - ( p(x =0)</em>
<em> = </em><em></em>
<em> </em> = 1 - (0.81)²
= 1 -0.6561
= 0.3439
<em>The probability that at least one person is hopelessly romantic is</em>
<em> P( X>1) = 0.3439</em>