Roger needs to score 1163 more points to win the game.
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
Read more about normal distribution at:
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Answer:
<em>$570 a week</em>
Step-by-step explanation:
<u>Percentage Calculations
</u>
One tricky fact about percentages is that they are usually performed over the last computed quantity. It makes them non-additive. For example, a raise of 10% followed by a 10% some time later, is NOT a 20% of total raise
The question states Ashely is making $500 a week at her job and that she receives a 20% pay raise. After that raise she will make
A year later she takes a 5% pay cut. We must be careful to take that percentage from the last earnings. She now makes
The answer is three million , three hundred , eighty eight thousand , one hundred , ninth eight
X = number of students who are members.
<span>19-x is the number of people who are not members.</span> x number of people paid $11 for tickets and (19-x) number of people paid $13.$11x+$13(19-x)=$209 for the total cost of the tickets.
$11x+ $247-$13x=$209 $11x-13x = $209 - $247
$-2x = $-38
divide -2 by both sides
x=19, meaning that all of the students are members.