×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide

Forty percent of seeds from maize (modern-day corn) ears

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 107E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

4 5 1 285 Reviews
17
1
Problem 107E

Forty percent of seeds from maize (modern-day corn) ears carry single spikelets, and the other 60% carry paired spikelets. A seed with single spikelets will produce an ear with single spikelets 29% of the time, whereas a seed with paired spikelets will produce an ear with single spikelets 26% of the time. Consider randomly selecting ten seeds. a. ?What is the probability that exactly five of these seeds carry a single spikelet and produce an ear with a single spikelet? b. ?What is the probability that exactly five of the ears produced by these seeds have single spikelets? What is the probability that at most five ears have single spikelets?

Step-by-Step Solution:
Step 1 of 3

Problem 107E Answer: Step1: We have 40% of seeds from maize (modern-day corn) ears carry single spikelets, and the other 60% carry paired spikelets. A seed with single spikelets will produce an ear with single spikelets 29% of the time, whereas a seed with paired spikelets will produce an ear with single spikelets 26% of the time. Consider randomly selecting 10 seeds. We need to find, a. What is the probability that exactly five of these seeds carry a single spikelet and produce an ear with a single spikelet b. What is the probability that exactly five of the ears produced by these seeds have single spikelets What is the probability that at most five ears have single spikelets Step2: a). Here, randomly selecting seeds n = 10 and The probability that each randomly selected seed carries a single spikelet and produce an ear with a single spikelet is p = 0.4 × 0.29 = 0.116. Since A random variable “X” follows binomial distribution with parameter “(n, p)” X ~B(n, p) X ~B(10, 0.116) The probability mass function of X is given by n x n-x p(x) = C x q , x = 0,1,2,...,n With mean E(x) = np and Var(x) = np(1 - p) Now, The probability that exactly five of these seeds carry a single spikelet and produce an ear with a single spikelet is given by P(X = 5) Consider, p(x) = C x q n-,...

Step 2 of 3

Chapter 3, Problem 107E is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

Other solutions

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Forty percent of seeds from maize (modern-day corn) ears

×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide
×
Reset your password