Question
Asked Nov 19, 2019
18 views

FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected duck is .3 and the ducks are considered to be independent.

check_circle

Expert Answer

Step 1

Given data

No of ducks = 5

Probability of an infected duck p = 0.3

Using Binomial theorem

Probability of x success out of n trial is given by

help_outline

Image Transcriptionclose

(К)x р*x (1—р)"-* Р(х %3 х) — Drawing Probability distribution table XX Р(X) X Р(X) 0 Р(x — 0) — x 0.30 x (1 0.3)5-0 0.16807 0 1 Р(x — 1) — x 0.31 x (1 -0.3)5-1 = 0.36015 0.36015 2 x 0.32 x (1 0.3)5-2 Р(x 3 2) — 0.3087 0.6174 3 Р(X — 3) - x 0.33 x (1 -0.3) 5 -3 0.1323 0.3969 4 Р(x 3D 4) 3D (С) x 0.34 x (1 -0.3)5-4 0.02835 0.1134 5 P(X 1) ( x 0.35 x (1 -0.3)5-5 0.00243 0.01215 Sum1 1.5

fullscreen
Step 2

Expected number of infected ducks in a...

help_outline

Image Transcriptionclose

хX Р(X) 3D 1.5 Е(X) —D

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Basic Probability

Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are ...

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters...

question_answer

Q: How would I find the probability?

A: a). From the provided information, the total number of microwave are 10, in which the defective micr...

question_answer

Q: Find z such that 2.6% of the standard normal curve lies to the left of z. (Round your answer to two ...

A: Given:Area to the left in standard normal curve is 2.6% = 0.026

question_answer

Q: Several psychology students are unprepared for a surprise​ true/false test with 20 questions, and al...

A: Given information:Sample size (n) = 20The options of the questions are true or false for the all unp...

question_answer

Q: DL Decision analysis. After careful testing and analysis, an oil company is considering drilling in ...

A: We are given that an oil company is considering drilling in two different sites.It is estimated that...

question_answer

Q: 5.80 but use 5.79 as a reference

A: Consider,D be the event that shows an odd sum on rolling of two dice.B be the event that denotes a s...

question_answer

Q: In a one-way ANOVA, what does it mean to reject the statement in the null hypothesis if three treatm...

A: The null hypothesis for one-way ANOVA:

question_answer

Q: Let X1, X2, X3 be independent Exp()-distributed random vairables. Determine the pdf of X(1)X(3)

A: From the given information,X1, X2, X3 are independent random variable that Exponentially distributed...

question_answer

Q: Probability Question

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we...