# The probability that a seed will germinate is 0.34. Suppose 130 seeds are planted. How do you use the central limit theorem to determine the probability that at most 37 seeds germinate?

By signing up, you agree to our Terms of Service and Privacy Policy

To use the central limit theorem to determine the probability that at most 37 seeds germinate out of 130 planted seeds, we first calculate the mean and standard deviation of the sample distribution.

Mean = n * p = 130 * 0.34 = 44.2 Standard deviation = sqrt(n * p * (1 - p)) = sqrt(130 * 0.34 * (1 - 0.34)) ≈ 5.16

Next, we standardize the value of 37 using the z-score formula:

z = (x - mean) / standard deviation = (37 - 44.2) / 5.16 ≈ -1.39

Now, we use a standard normal distribution table or a calculator to find the cumulative probability associated with this z-score.

Looking up the z-score of -1.39 in the standard normal distribution table, we find the cumulative probability to be approximately 0.0823.

Therefore, the probability that at most 37 seeds germinate out of 130 planted seeds is approximately 0.0823, or 8.23%.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- You take a sample of 144 observations and have a value of x bar equal to 59. The population mean is 68 and the population standard deviation is 36. What is the z score of your sample mean?
- ? A reporter for the local news station wants to know how the citizens of the area feel about the current gas prices. The reporter decides to gather this information by conducting a survey at the local golf course. Part A Determine if the chosen sample
- The probability that a seed will germinate is 0.34. Suppose 130 seeds are planted. How do you use the central limit theorem to determine the probability that at most 37 seeds germinate?
- A 12 member jury for a criminal case will be selected from a pool of 15 men and 15 women. What is the probability that the jury will have 6 men and 6 women?
- What does population distribution mean?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7