The probability that a randomly selected 2 2-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0.98861. (a) What is the probability that two randomly selected 2 2-year-old male garter snake garter snakes will live to be 3 3 years old? (b) What is the probability that seven seven randomly selected 2 2-year-old male garter snake garter snakes will live to be 3 3 years old? (c) What is the probability that at least one of seven seven randomly selected 2 2-year-old male garter snake garter snakes will not live to be 3 3 years old? Would it be unusual if at least one of seven seven randomly selected 2 2-year-old male garter snake garter snakes did not live to be 3 3 years old?

a.

b.

c.

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

--- Approximated

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Where

--- Approximated

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

The probability that none of the 7 lives up to 3 is:

Substitute this value for P(None) in

---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

yes

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step-by-step explanation: