3088.22813276
hope this helps, you could've entered this into a calculator for next time.
Answer:
a) 0.004
The probability of getting exactly 8 heads
P(X=8) = 0.004
Step-by-step explanation:
<u><em>Explanation:</em></u>-
The probability of getting a Head, p = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
The probability of getting a Tail, q = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
A coin is flipped 8 times
n = 8
Let 'X' be the random variable in a binomial distribution
![P(X=r) = nC_{r} (p )^{r} q^{n-r} \\nc_{n} = 1](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20nC_%7Br%7D%20%28p%20%29%5E%7Br%7D%20q%5E%7Bn-r%7D%20%5C%5Cnc_%7Bn%7D%20%3D%201)
The probability of getting exactly 8 heads
![P(X=8) = 8C_{8} (\frac{1}{2} )^{8} (\frac{1}{2} )^{8-8}](https://tex.z-dn.net/?f=P%28X%3D8%29%20%3D%208C_%7B8%7D%20%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B8%7D%20%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B8-8%7D)
![P(X=8) =(\frac{1}{2} )^{8} = 0.0039](https://tex.z-dn.net/?f=P%28X%3D8%29%20%3D%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B8%7D%20%3D%200.0039)
<u><em>Final answer:-</em></u>
The probability of getting exactly 8 heads
P(X=8) =0.0039≅ 0.004
Answer:
1125&825
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
a² - b² ← is a difference of squares and is factored in general as
(a + b)(a - b)
42² - 38² ← is a difference of squares and factors as
42² - 38² = (42 + 38)(42 - 38) = 80(4) = 320 → D