Answer:
2240
Step-by-step explanation:
7% of 8000 is 560, and 28% of 8000 is 2240. 560 x 4 is also 2240.
Using it's concept, it is found that there is a:
- 0.6207 = 62.07% probability of selecting a cow.
- 0.0345 = 3.45% probability of selecting a horse.
- 0.3448 = 34.48% probability of selecting a goat.
- 0% probability of selecting a chicken.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, there is a total of 18 + 1 + 10 + 0 = 29 animals, hence:
18/29 = 0.6207.
0.6207 = 62.07% probability of selecting a cow.
1/29 = 0.0345.
0.0345 = 3.45% probability of selecting a horse.
10/29 = 0.3448.
0.3448 = 34.48% probability of selecting a goat.
0/29 = 0.
0% probability of selecting a chicken.
More can be learned about the probability concept at brainly.com/question/15536019
Using the <em>normal probability distribution and the central limit theorem</em>, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem:
- The mean is of .
- The standard deviation is of .
- A sample of 144 is taken, hence .
Item a:
The probability is the <u>p-value of Z when X = 42600</u>, hence:
By the Central Limit Theorem:
has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the <u>1 subtracted by the p-value of Z when X = 46240</u>, hence:
has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the <u>p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190</u>, hence:
X = 46980:
has a p-value of 0.9693.
X = 43190:
has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
To learn more about the <em>normal probability distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
Answer:
Step-by-step explanation:
Hi!
Lets define:
C = 1 if candidate is qualified
C = 0 if candidate is not qualified
A = 1 correct answer
A = 0 wrong answer
T = 1 test passed
T = 0 test failed
We know that:
The test consist of 20 questions. The answers are indpendent, then the number of correct answers X has a binomial distribution (conditional on the candidate qualification):
The probability of at least 15 (P(T=1))correct answers is:
We need to calculate the conditional probabiliy P(C=1 |T=1). We use Bayes theorem: