E and f were a little complicated.
Someone please help me
1 answer:
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Answer:
(a)
The probability that you stop at the fifth flip would be
(b)
The expected numbers of flips needed would be
Therefore, suppose that , then the expected number of flips needed would be 1/0.5 = 2.
Step-by-step explanation:
(a)
Case 1
Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be
Case 2
Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be
Therefore the probability that you stop at the fifth flip would be
(b)
The expected numbers of flips needed would be
Therefore, suppose that , then the expected number of flips needed would be 1/0.5 = 2.
The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given
Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known
Here, if we use cos x = we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star
Note: cos values for each x are definite.