Answer:
The probability of the number of starfish dropping below 3 is 0.0463.
Step-by-step explanation:
Let X represent the number of starfish in the tide pool.
X follows a Poisson distribution with mean 6.4.
The formula for Poisson distribution is as follows.
![P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20e%5E%7B-6.4%7D%20%2A%20%5B6.4%5E%7Bx%7D%20%2F%20x%21%5D%20when%20x%20%3D%200%2C%201%2C%20...)
otherwise
We need to find the probability that the number of starfish in the tide pool drops below 3.
Therefore, the required probability is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)
P(X < 3) = 0.00166 + 0.01063 + 0.03403
P (X < 3) = 0.0463
Answer: -30
Step-by-step explanation: -13 subtract 17 = -30
Answer:
20.3 units
Step-by-step explanation:
AB/CB = BD/AB
9/CB = 4/9
CB = 9×9/4
CB = 81/4 = 20¼ units
20.25 (20.3 units correct to 1 dp)
Theres only 4 but the answer is -15
Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for 
= 
Next, putting the value in the formula.
⇒ 
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent= 
≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
