Question

Show all work... A biologist examines turtles for a genetic defect, which is normally found in...

Show all work...

A biologist examines turtles for a genetic defect, which is normally found in 12.5% of turtles. She collects and examines 12 turtles. What's the probability that she finds the trait in

(a) none of the 12 turtles?

(b) exactly 2 of the 12 turtles?

(c) at least 3 of the 12 turtles?

Homework Answers

Answer #1

Solution-A;

p=12.5%=0.125

q=1-p=1-0.125=0.875

n=12

problem on binomial distribution

P(none of the 12 turtles)=P(X=0)

we have P(X=x)=ncx*p^x*q^n-x

P(X=0)=12c0*0.125^0*0.875^12-0

=0.20142

probability that she finds the trait in none of the 12 turtles is 0.20142

Solution-b:

P(X=2)

P(X=2)=12c2*0.125^2*0.875^12-2

=0.2713

probability that she finds the trait in exactly 2 of the 12 turtles

0.2713

Solution-C:

P(X>=3)

=1-P(X<2)

=1-(P(X=0)+P(X=1)+P(X=2)

=1-{(12c0*0.125^0*0.875^12-0)+(12c1*0.125^1*0.875^12-1)+(12c2*0.125^2*0.875^12-2)}

=1-{0.20142+ 0.34529+0.2713}

=1-0.8180

=0.182

probability that she finds the trait in at least 3 of the 12 turtles=

0.182

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4a. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to...
4a. A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. He collects and examines 12 frogs. If the frequency of the trait has not changed, what is the probability he finds the traits in None of the frogs? At least 2 frogs 4b There are three nursing positions to be filled...
1.Let X be a binomial random variable with mean 9 and variance 4.5. Find P(X =...
1.Let X be a binomial random variable with mean 9 and variance 4.5. Find P(X = 9). ( ) 2.,A wildlife biologist examines frogs for a genetic trait that may possibly be linked to industrial toxins in the environment. This trait is usually found in 1 of every 7 frogs, so the prevalence is 0.143. A sample of 92 frogs are collected and examined.  (Enter all probabilities with 3 decimal points.) What is the probability that at least 9 frogs in...
Please answer the questions below and show all work. 1. If 10% of all disk drives...
Please answer the questions below and show all work. 1. If 10% of all disk drives produced on an assembly line are defective, what is the probability that there will be exactly one defect in a random sample of 5 of these? What is the probability that there will be no defects in a random sample of 5? 2. The time to complete a construction project is normally distributed with a mean of 60 weeks and a standard deviation of...
Suppose it is known that 40% of all college students work full time. Define a success...
Suppose it is known that 40% of all college students work full time. Define a success as "a student works full time". (a) If we randomly select 12 college students, what is the probability that exactly 3 of the 12 students work full time? (show 5 decimal places) (b) If we randomly select 12 college students, what is the probability that at least 3 of the 12 work full time? (show 5 decimal places) (c) In questions (a) and (b)...
Use probability techniques to solve the following questions. (Be sure to show all work) 1 -...
Use probability techniques to solve the following questions. (Be sure to show all work) 1 - Of all murder victims in 2010 whose relation to the offender was known, 28.8% were killed by a family member and 53% by an acquaintance. The rest were killed by a stranger. What is the probability that a randomly selected murder victim was killed by a stranger? 2 - In a recent survey, 15 people preferred milk, 27 people preferred coffee and 18 people...
Show your work for solving the questions below . In a collection of 100 coins ,...
Show your work for solving the questions below . In a collection of 100 coins , 41 are rare . If you select 30 of the coins , what is the probability that : a ) all of them are rare ? b ) none of them is rare ? c ) at least two of them are rare ? I dont know whether it is binomial distribution or hypergeometric distribution? Can you please tell me which and why?
PLEASE SHOW WORK. It is necessary to round a probability to 2 decimal places. I must...
PLEASE SHOW WORK. It is necessary to round a probability to 2 decimal places. I must understand so clear writing is much appreciated. All test of hypotheses are to be done at the 5% level of significance and all confidence intervals are to be 95% unless otherwise stated. 3. A psychologist claims that the mean age at which children start walking is 12.5 month. Carol thought children need a longer time to start walking. She took a random sample of...
**Please answer all questions and show all work and calculations. I also have the correct answers...
**Please answer all questions and show all work and calculations. I also have the correct answers and have put them at the end of the question.** 1. The Boston Celtics currently have 20 players on their roster of which nine are guards. Suppose that five players are randomly selected from the Celtics' roster. What is the probability that exactly two of the selected players are guards? Ans: Hypergeometric, 0.383 2. The Boston Celtics currently have 20 players on their roster...
SHOW ALL WORK. DO NOT GENERATE SOFTWARE TO GENERATE ANSWERS. The length of a particular metal...
SHOW ALL WORK. DO NOT GENERATE SOFTWARE TO GENERATE ANSWERS. The length of a particular metal bar used in the construction of your chair is normally distributed with a mean m of 3 meters and a standard deviation of s = .2 meters, then: a) What is the probability that the average of 4 bars selected at random from this process will be less than 2.90 meters? b) What is the probability that the average of 4 bars selected at...
SHOW ALL WORK The power level of noise in the warehouse is measured in Watts and...
SHOW ALL WORK The power level of noise in the warehouse is measured in Watts and is normally distributed with a mean of 1 Watt and a variance of 3 Watts. Government regulations require employees to wear noise cancelling headphones if the metric X = (N1+N2+N3)/4 is greater than 2.5 Watts, where Ni for i=1,2,3 are independent measurements of the noise power level taken at three random times during the day. a) Calculate the probability that the first noise N1...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT