Respuesta :
Answer: (a) 0.0656
(b) 0.00028
Step-by-step explanation:
Since we have given that
Probability that a randomly selected 5-year old male horned beetle will live to be 6 years old = 0.25624
If there are
Number of male horned beetles = 2
So, probability that two randomly selected 5-year-old male horned beetles will live to be 6 years old is given by
[tex](0.25624)^2\\\\=0.0656[/tex]
If number of male horned beetles = 6
So, probability that six randomly selected 5-year-old male horned beetles will live to be 6 years old is given by
[tex](0.25624)^6\\\\=0.00028\\[/tex]
Hence, (a) 0.0656
(b) 0.00028
Answer:
(a) The probability that two randomly selected 5-year-old male horned beetles will live to be 6 years old is 0.06566.
(b) The probability that six randomly selected 5-year-old male horned beetles will live to be 6 years old is 0.000283.
Step-by-step explanation:
It is given that the probability that a randomly selected 5-year-old male horned beetle will live to be 6 years old is 0.25624.
(a)
We need to find the probability that two randomly selected 5-year-old male horned beetles will live to be 6 years old.
[tex]P=0.25624\times 0.25624=(0.25624)^2=0.0656589376\approx 0.06566[/tex]
Therefore the probability that two randomly selected 5-year-old male horned beetles will live to be 6 years old is 0.06566.
(b)
We need to find the probability that six randomly selected 5-year-old male horned beetles will live to be 6 years old.
[tex]P=0.25624\times 0.25624\times 0.25624\times 0.25624\times 0.25624\times 0.25624=(0.25624)^6=0.000283061988948\approx 0.000283[/tex]
Therefore the probability that six randomly selected 5-year-old male horned beetles will live to be 6 years old is 0.000283.
