# Binomial Probability

posted by .

Before 1918, wolves were shown as 55% male, 45% female. From 1918 to present they were shown as 70% male and 30% female. In a random sample of 12 wolves, what was the probability that 6 were male? What was the probibility that 6 or more were female? What was the probability fewer than 4 were female?
(b) Answer part A for period from 1918 to present

• Binomial Probability -

Prob(male) = .7
prob(female) = .3

a) prob(6 are male_
= C(12,6) (.7)^6 (.3)^6 = .07925

b) prob(6 or more are female)
= prob(6 F) + prob(7 F) + prob(8 F + .. prob(12 F_
=
C(12,6)(.3)^6 (.7)^6 + C(12,7) (.3)^7 (.7)^5 + ... + C(12,12) (.3)^12 (.7)^0
I will let you do the button pushing

prob(less than 4 are female)
= prob(3 F) + prob(2 F) + prob (1 F) + prob(0 F)
= C(12,3) (.3)^3 (.7)^9 + ... + C(12, 0) (.3)^0 (.7)^12
= .....

## Similar Questions

1. ### Biometrics

If these samples were drawn from a population with mean male weight of 180 and mean female weight of 165, what is the probability that the difference between the mean male and female weights would be greater than the observed sample?
2. ### statistics

Suppose that two employees have to be fired from a group of seven: • Amy, female, age 35 • Bob, male, age 41 • Chad, male, age 43 • Diana, female, age 44 • Elvis, male, age 49 • Frank, male, age 61 • Ginger, female, age …
3. ### math

thirty animals are to be used in a medical experiment on diet deficiency: 3 male and 7 female rhesus monkeys, 6 male and 8 female dogs. If one animal is selected at random, what is the probability of getting a chimpanzee or a dog?
4. ### Probability

thirty animals are to be used in a medical experiment on diet deficiency: 3 male and 7 female rhesus monkeys, 6 male and 8 female dogs. If one animal is selected at random, what is the probability of getting a chimpanzee or a dog?
5. ### Probability

help solving a probability problem: probability that a person taking a survey is male "given" that he preferred a European automobile if 112 males prefer european autos out of 188, and 216 of a total of 452 individuals were surveyed …
6. ### statistics

1) One hundred clients of a registered tax agent fall into the categories of personal (25 male, 30 female), corporate (10 male, 15 female) and small business (8 male, 12 female). The agent selects one of the clients at random to begin …
7. ### ethics

If you were a researcher in evolutionary psychology, which of the following might be a typical conclusion regarding male and female differences?
8. ### ethics

f you were a researcher in evolutionary psychology, which of the following might be a typical conclusion regarding male and female differences?
9. ### ethics

f you were a researcher in evolutionary psychology, which of the following might be a typical conclusion regarding male and female differences?
10. ### math

3.A poll was taken to determine the birthplace of a class of college students. Below is a chart of the results. a.What is the probability that a female student was born in Orlando?

More Similar Questions