Question

Before 1918 approximately 55% of the wolves in the region were male and 45% were female however cattle ranchers in the area have made a determined effort to exterminate rules from 1918 to president approximately 65% of wolves in the region are male and 35% of female biological suspect the male wars are more likely than female to return to the area where the population has been greatly reduced (round your answers to three decimal places)

a)before 1918 in a random sample of 11 wolved spotted in the region what is the probability that eight or more were male.

what is the probability that 8 or more were female
what is the probability that fewer than 5 were female

B for the period from 1918 to present in a random sample of 11 wolves spotted in the region what is the probability that 8 or more were male

what is the probability that eight or more were female

what is the probability that fewer than five were female

Answer 1

To calculate the probabilities, we can use the binomial probability formula. The probabilities can be calculated by using the given formula. a) The probability that 8 or more wolves are male. b) The probability that 8 or more wolves are female. c) The probability that fewer than 5 wolves are female.

Step-by-step explanation:

To calculate the probabilities, we can use the binomial probability formula:

P(X=k) = C(n,k) * p^k * (1-p)^(n-k)

a) The probability that 8 or more wolves are male can be calculated by adding the probabilities of getting 8, 9, 10, 11 male wolves in a random sample of 11 wolves.
P(X≥8) = P(X=8) + P(X=9) + P(X=10) + P(X=11)
b) The probability that 8 or more wolves are female can be calculated by subtracting the probability of getting 7 or fewer female wolves from 1.
P(X≥8) = 1 - P(X≤7)
c) The probability that fewer than 5 wolves are female can be calculated by adding the probabilities of getting 0, 1, 2, 3, or 4 female wolves in a random sample of 11 wolves.
P(X<5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)