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Nesterboy [21]
3 years ago
5

NEED HELP! The ski lift at Thunder Mountain called Devils Canyon is quite dangerous. Usually 2% of the skiers who attempt the ru

n will injure themselves due to falls.
8. What is the probability that exactly 3 of the next 100 skiers who attempt this run will injure themselves?

Answer Choices:
0.126
0.175
0.182
0.215
Mathematics
1 answer:
grigory [225]3 years ago
7 0
We will be using the binomial probability formula to solve the problem

The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ

Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02

We can either calculate ⁿCₓ by using the scientific calculator using the ^nC_r button or by doing it manually use \frac{n!}{(n-x)!x!}

P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)

Correct answer: option 3
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Answer:

x-intercept:

A line that crosses the graph at x-axis.

i.e substitute y = 0 and solve for x.

As per the statement:

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water

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