Answer:
2, 7, 14, 19
Step-by-step explanation:
Answer: Choice C
The probability of getting all heads is the same as the probability of getting all tails
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Explanation:
H = heads
T = tails
In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.
In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.
Therefore, both HHH and TTT have the same probability. This is because both sides of the coin have equal chances to land on. If the coin was more biased toward heads for example, then HHH and TTT would have different probabilities.
Answer:
(1)14.9% (2) 2.96% (3) 97.04%
Step-by-step explanation:
Formula for Poisson distribution: 
where k is a number of guests coming in at a particular hour period.
(1) We can substitute k = 7 and 
into the formula:
(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours
(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:
For this case we have the following equation of motion:
h (t) = -16t ^ 2 + 90t
Equaling the equation to zero we have:
-16t ^ 2 + 90t = 0
We look for the roots of the polynomial:
(t) (- 16t + 90) = 0
t1 = 0 (initial position)
t2 = 90/16 = 5.625 s (time it reaches the ground again)
Answer:
it will return to the ground in:
t = 5.625 s
