Hey there!
We don't know the value of q, so our answer will have a variable in it. The words "more than" signify addition, meaning we're <em>adding</em> 2.4 to q.
Therefore, we have:
2.4 + q
Remember, that's our simplest form. We don't know what q is equal to.
Hope this helps!
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383
One polynomial identity that crops up often in various areas is the difference of squares identity:
A2-b2=(a-b) (a+b)
We meet this in the context of rationalising denominators.
