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lina2011 [118]
3 years ago
14

a. I have five coins in my pocket – four are fair, and the other is weighted to have a 70% chance of coming up heads. I pull one

out at random and flip it three times. What is the conditional probability that I get four heads given I pulled out the weighted coin?
Mathematics
1 answer:
zimovet [89]3 years ago
7 0

Answer:

The conditional probability that I get four heads given I pulled out the weighted coin = 0.2401

Step-by-step explanation:

Probability of getting 4 heads from 4 trials for a fair coin = 0.5⁴

But given that it is the weighted coin that is pulled out,

The probability of getting 4 heads from 4 trials = 0.7⁴ = 0 2401

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Answer:

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Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

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Thus;

a = 4 × 1/2

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Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

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