Answer:
See below
Step-by-step explanation:
Hope this helps!
Answer:
A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will stop working. A) 0.073 B) 0.795 C) 0.867 D)0.205
Answer:
where the img
Step-by-step explanation:
<span><span><span>7p</span>−<span>(<span><span>3p</span>+4</span>)</span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10
</span></span><span><span><span><span>7p</span>+<span><span>−1</span><span>(<span><span>3p</span>+4</span>)</span></span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10</span></span>(Distribute the Negative Sign)
</span><span><span><span><span>7p</span>+<span><span>−1</span><span>(<span>3p</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(4)</span></span></span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10
</span></span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span>−<span>2<span>(<span><span>2p</span>−1</span>)</span></span></span>+10
</span></span><span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span><span><span>(<span>−2</span>)</span><span>(<span>2p</span>)</span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−1</span>)</span></span></span>+10</span></span>(Distribute)
</span><span><span><span><span><span><span>7p</span>+</span>−<span>3p</span></span>+</span>−4</span>=<span><span><span>−<span>4p</span></span>+2</span>+10
</span></span><span><span><span><span>(<span><span>7p</span>+<span>−<span>3p</span></span></span>)</span>+<span>(<span>−4</span>)</span></span>=<span><span>(<span>−<span>4p</span></span>)</span>+<span>(<span>2+10</span>)</span></span></span>(Combine Like Terms)
</span><span><span><span>4p</span>+<span>−4</span></span>=<span><span>−<span>4p</span></span>+12
</span></span><span><span><span>4p</span>−4</span>=<span><span>−<span>4p</span></span>+12
</span></span><span>Add 4p to both sides.
</span><span><span><span><span>4p</span>−4</span>+<span>4p</span></span>=<span><span><span>−<span>4p</span></span>+12</span>+<span>4p
</span></span></span><span><span><span>8p</span>−4</span>=12
</span>Add 4 to both sides.
<span><span><span><span>8p</span>−4</span>+4</span>=<span>12+4
</span></span><span><span>8p</span>=16
</span><span>Divide both sides by 8
p=2 <----final answer :)
</span><span />
The answer is 3/52.
There are 12 face cards in a standard deck, so the probability of the first card is 12/52 = 3/13.
After replacement, there are 13 diamonds in the deck that still contains 52 cards; 13/52 = 1/4.
Together the probability is 3/13(1/4) = 3/52.