Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 3.27. problem. (section 11.5) the following are ap

3.27. Problem. (Section 11.5) The following are applications of Theorem 11.6 or the Central Limit Theorem. (a)...

60.1K

Verified Solution

Question

Basic Math

3.27. Problem. (Section 11.5) The following are applications ofTheorem 11.6 or the Central Limit Theorem.

(a) Determine the distribution of (1/5)X1 + (2/5)X2 + (2/5)X3 if X1,X2 and X3 are independent normaldistributions with µ = 2 and

? = 3.

(b) The weight (kg) of a StarBrite watermelon harvested undercertain environmental conditions is normally distributed with amean of 8.0 with standard deviation of 1.9. Suppose 24 StarBritewatermelons grown in these conditions are harvested; compute theprobability that the average weight of all 24 watermelons is lessthan 7.8 kg/fruit

(c) A study of elementary school students reports that the meanage at which children begin reading is 5.7 years with a standarddeviation of 1.1 years. If 55 elementary school students areselected at random, approximate the probability that the averageage at which these 55 children begin reading is at least 6.

(d) Let the random variable X be defined as the number of pipsthat show up when a fair, six-sided die is rolled. The mean andstandard deviation of X can be shown to be µX = 3.5 and ?X = 1.71,respectively. If 100 fair, six-sided dice are rolled, aproximatethe probability that the mean of number of pips on the 100 dice isless than 3.25

Answer & Explanation Solved by verified expert
4.2 Ratings (563 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

The number of hours 12 students watched television during the weekend and the scored of each student...

Statistics
Q

Create a program that stores the information of up to 50 containers loaded on ship. The...

Electrical Engineering
Q

During a meeting, two analysts are discussing the level of interest rates the economy has experienced...

Economics
Q

6 5 4 3 2 7 6 5 4 3 2 1 1 2 3...

Geometry
Q

samplin 7 Generating a Sampling Distribution Let s illustrate the idea of a sampling distribution...

Statistics
Q

Use Heron s Area Formula to find the area of the triangle Round your answer...

Calculus
Q

Find the coefficient a of the given term in the expansion of the binomial Binomial...

Calculus
Q

Use the conservation of cash to compute the balance on the dates (in Month/Day)6/ l;...

Accounting
Q

Yellow, Inc., vende un solo producto por $10. Los costos variables son de $4 por...

Accounting
Q

A monumental change is emerging in accounting: the movement away from the decades-old method of...

Accounting
Q

Deporte Company produces single-colored t-shirts. Materials for the shirts are dyed in large vats. After...

Accounting
Q

Should goodwill be a valid account? Is it a legitimate account always or just sometimes?...

Accounting