Respuesta :
The probability that if we select 4 fish from the tank, at least 2 will be white is 0.7863.
Given,
A fish tank in a pet store has 21 fish in it. 9 are orange and 12 are white. determine the probability that if we select 4 fish from the tank, at least 2 will be white;
The probability that the fish is white = 12/21
= 4/7
To find the probability that at least two will be white,
P(x ≥ 2) = 1 - P(x < 2) = 1 - ( P(0) + P(1) )
The binomial distribution formula [tex]P(x) = (^n_x)p^xq^n^-^x[/tex] where p is the probability of success and q is the probability of failure.
From the above formula;
P(x ≥ 2) = 1 + [ (3/7)⁴ + 4*(4/7)*(3/7)³ ]
= 0.7863
Hence, the likelihood that if we select 4 fish from the tank, at least 2 will be white is 0.7863.
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