Purchase Solution

Probability, mean & variance

Not what you're looking for?

Ask Custom Question

Please help with the following probability problems. Provide step by step calculations for each statistics question.

The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12.

a. What is the probability that exactly 10 seeds will germinate?
b. What is the probability that 10 or more will germinate?
c. What is the probability that all seeds will germinate?
d. Find the mean.
e. Find the variance.

Purchase this Solution

Solution Summary

This solution provides calculations for probability, mean and variance. The problem involves a germinating pumpkin seed. Step by step calculations are given for each problem.

Solution Preview

Problem: The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12.

a. What is the probability that exactly 10 seeds will germinate?

Solution. Let X be the number of seeds that will germinate. Then X follows a binomial distribution with n=12 and p=0.70. Hence, the probability that exactly 10 seeds will germinate is

...

Solution provided by:
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.