Question

The probability that a randomly selected 3-year-old male garter snake will live to be 4 years old is 0.95586.

A,) What is the probability that two randomly selected 3 year old male garter snakes will live to be 4 years old?

B.) What is the probability that seven randomly selected 3 year old male garter snakes will live to be 4 years old?

C.) What is the probability that at least one of seven randomly selected 3-year-old male garter snakes will not live to be 4 years old? Would it be unusual if at least one of seven randomly selected 3 year old male garter snakes did not live to be 4 years old?

Answer 1

Answer

(A) Probability that  two randomly selected 3 year old male garter snakes will live to be 4 years old = p^n

where p= 0.95586 and n = 2

setting the values, we get

P(X=2) = 0.95586^2

= 0.91367 (5 decimals)

(B)

Probability that  seven randomly selected 3 year old male garter snakes will live to be 4 years old = p^n

where p= 0.95586 and n = 7

setting the values, we get

P(X=7) = 0.95586^7

= 0.72905 (5 decimals)

(C) P(not live to be 4 years old) = 1 - P(live to be 4 years)

= 1-P(X=7)

= 1 - 0.72905

= 0.27095

No, it is not unusual because the probability is greater than cut off value of 0.05