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Makovka662 [10]
3 years ago
7

If A and B are independent events and P(A) and P(B) are both greater than 1/2

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

P(A and B) is greater than 1 is never happened ⇒ C

Step-by-step explanation:

Two events are independent if the result of the second event is not  affected by the result of the first event

If A and B are independent events, the probability of both events  is the product of the probabilities of the both events  P (A and B) = P(A) · P(B)

∵ The probability of any event is less than 1

∵ P(A) < 1

∵ P(A) > \frac{1}{2}

- That means P(A) is greater than half and less than 1

∴ \frac{1}{2} < P(A) < 1

∵ P(B) < 1

∵ P(B) > \frac{1}{2}

- That means P(B) is greater than half and less than 1

∴ \frac{1}{2} < P(B) < 1

∵ P(A and B) = P(A) . P(B)

- Remember the product of any fractions less than 1 is less than 1

∴ \frac{1}{4} < P(A) . P(B) < 1

- That means any expression equals to P(A) . P(B) must be greater

   than \frac{1}{4} and less than 1

∴ \frac{1}{4} < P(A and B) < 1

∴ P(A and B) is greater than 1 is never happened

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Answer:

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Therefore

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Tanget-tanget angle = 112 / 2 = 56 degrees

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3 years ago
Suppose N has a geometric distribution with parameter p. Derive a closed-form expression for E(N | N &lt;= k), k = 1,2,... Check
vfiekz [6]

Answer:

P(X= k) = (1-p)^k-1.p

Step-by-step explanation:

Given that the number of trials is

N < = k, the geometric distribution gives the probability that there are k-1 trials that result in failure(F) before the success(S) at the kth trials.

Given p = success,

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Pr((X=k) = (1 - p)^ (k-1) .p

Since N<=k

Pr (X =k) = p(1-p)^k-1, k= 1,2,...k

0, elsewhere

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0, elsewhere.

Given p= 0.2, k= 3,

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P(X=3) = 0.128

3 0
3 years ago
The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next tw
Igoryamba

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

4 0
3 years ago
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SVETLANKA909090 [29]

Answer:

<h3>1/8</h3>

Step-by-step explanation:

Given the expression

\frac{(2^3)(2)^4}{2^{10}} \\

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\frac{a^m}{a^n}  = a^{m-n}\\a^m \times a^n = a^{m+n}

The expression becomes;

Step 1: Multiplication rule

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Using the division rule of exponent (Quotient of powers);

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5 0
3 years ago
Read 2 more answers
Evaluate: 9 + x/5 for x = 30 15 16 17 18
mart [117]

<u>Answer:</u>

\bold{9+\frac{x}{5}=15}

<u>Solution:</u>

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On substituting the value of x,

9+\frac{30}{5}

On dividing 30 and 5 we get,

\Rightarrow 9+6 = 15

So, the option is 15.

7 0
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