Before 1918, approximately 60% of the wolves in the New Mexico and Arizona regio

Question

Before 1918, approximately 60% of the wolves in the New Mexico and Arizona region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.)

(a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?

What is the probability that 7 or more were female?

What is the probability that fewer than 4 were female?

(b) For the period from 1918 to the present, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?

What is the probability that 7 or more were female?

What is the probability that fewer than 4 were female?

Explanation / Answer

The problem can be solved by using the binomial distribution as follows: -

n!/x!(n-x)!*p^x*q^n-x

a)

p=0.6, q=0.4

Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male?

p=0.6, q=0.4, n=7, 8, 9, 10, answer is 0.38228

What is the probability that 7 or more were female?

p=0.6, q=0.4, n=0, 1, 2, 3, answer is 0.0547618816

What is the probability that fewer than 4 were female?

p=0.6, q=0.4, n=7, 8, 9, 10, answer is 0.38228

b)

p=0.7, q=0.3

For the period from 1918 to the present, in a random sample of 10 wolves spotted in the region,

what is the probability that 7 or more were male?

p=0.7, q=0.3, n=7, 8, 9, 10, answer is 0.64961

What is the probability that 7 or more were female?

p=0.6, q=0.4, n=0, 1, 2, 3, answer is 0.0105920784

What is the probability that fewer than 4 were female?

p=0.7, q=0.3, n=7, 8, 9, 10, answer is 0.64961

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.