The probability that it rains at most 2 days is 0.00005995233 and the variance is 0.516
<h3>The probability that it rains at most 2 days</h3>
The given parameters are:
- Number of days, n = 7
- Probability that it rains, p = 95%
- Number of days it rains, x = 2 (at most)
The probability that it rains at most 2 days is represented as:
P(x ≤ 2) = P(0) + P(1) + P(2)
Each probability is calculated as:
So, we have:
So, we have:
P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315
P(x ≤ 2) = 0.00005995233
Hence, the probability that it rains at most 2 days is 0.00005995233
<h3>The mean</h3>
This is calculated as:
Mean = np
So, we have:
Mean = 7 * 92%
Evaluate
Mean = 6.44
Hence, the mean is 6.44
<h3>The standard deviation</h3>
This is calculated as:
σ = √np(1 - p)
So, we have:
σ = √7 * 92%(1 - 92%)
Evaluate
σ = 0.718
Hence, the standard deviation is 0.718
<h3>The variance</h3>
We have:
σ = 0.718
Square both sides
σ² = 0.718²
Evaluate
σ² = 0.516
This represents the variance
Hence, the variance is 0.516
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Answer:
1/3
Step-by-step explanation:
There are 6 numbers on a dice, you want one out of the 2 outcomes, so tat makes it 2/6 or 1/3 chance of rolling a 3, or a 5
No idea sorry but uh how your day going Ik you came here for an answer but uh can’t help you with that but I can say don’t Throw a toaster in the bath with you
What is the square root of 74 to the nearest tenth is 8
Answer: The answer is 
30.72 
+ 193. 18 
+ 53. 46 
Step-by-step explanation:
Component of the plane's velocity in the direction of vector relative to the air: ;
Component of the plane's velocity in the direction of vector relative to the air: .
The direction of the plane's velocity relative to the air is normal to vector . Therefore, the component of the plane's velocity (relative to the air) in that direction will equal zero. Thus
.
Refer to the second diagram,
Component of the velocity of the wind in the direction of vector : ;
Component of the velocity of the wind in the direction of vector : .
Assume that the wind blows horizontally. The direction of the wind will be normal to vector . The component of the velocity of the wind in the direction of vector will thus equal zero. Therefore,
.
The ground speed of the plane is the sum of and .
That is:
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