Probability of distribution of two random variables
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From probability... Distributions of two random variables. The Correlation Coefficient.
1. A certain species of plant produces a flower that is either red, pink, white or on rare occasions blue. Form an analysis of the plants genes it is possible to calculate the the probability of a red flower is , the probability of white is and the probability of a pink flower is . A gardener grow 20 of these plants and was pleasantly suprised to see 5 blue flowers, 10 red, 2 white and 2 pink. Calculated the probability of this event.
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The probability of an event is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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Solution. First of all, we can assume that the events that each plant will produce a blue flower, a red flower, a white flower, or a pink flower are independent.
Secondly, we need to find the number of ways that we partition these 20 plants into FOUR groups: the 1st group has 5 plants; the 2nd group has 10 plants; the 3rd group has 3 plants; and the 4th group has 2 plants. The total number of ways is equal to
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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"
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