Question

In: Statistics and Probability

Mean number of flights are 54 with a standard deviation of 13 What is the probability...

Mean number of flights are 54 with a standard deviation of 13 What is the probability that the farmer will count 60 or fewer flights on average in the next 40 rows down? Round to four places

Expert Solution

Solution :

Given that,

mean = = 54

standard deviation = = 13

n = 40

= 54

= / n = 13/ 40=2.055

P( < 40) = P[( - ) / < (60-54) / 2.055]

= P(z < 2.92)

Using z table

=0.9982

probability= 0.9982

orchestra answered 2 years ago

The mean of a population is 75 and the standard deviation is 13. The shape of...

The mean of a population is 75 and the standard deviation is 13. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. a. A random sample of size 32 yielding a sample mean of 76 or more b. A random sample of size 160 yielding a sample mean of between 74 and 76 c. A random sample of size 218 yielding a sample mean of less than 75.2 (Round all...

for a continuous random variable x, the population mean and the population standard deviation are 54...

for a continuous random variable x, the population mean and the population standard deviation are 54 and 12 respectively. you extract a sample of 36 elements from this population. the mean of the sampling distribution of the sample mean is:

What is the probability that a normal random variable with mean 2 and standard deviation 4...

What is the probability that a normal random variable with mean 2 and standard deviation 4 will be less than 3?

what is the mean, median, and standard deviation of the numbers 3, 7,11,12, 13, 19, 20,29,...

what is the mean, median, and standard deviation of the numbers 3, 7,11,12, 13, 19, 20,29, 34, and 42

Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of...

Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being 0.50 and n = 10. Either show work or explain how your answer was calculated. Use these formulas to do the hand calculations: Mean = np, Standard Deviation = Comparison: Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being 0.10 and n = 10. Write a comparison of these statistics to those...

Find the mean, median, mode, and standard deviation (round standard deviation to the nearest whole number)...

Find the mean, median, mode, and standard deviation (round standard deviation to the nearest whole number) for the following SAMPLE set of test scores. 90 85 75 70 80 80 Using the above information and the Empirical Rule: What percent of scores would you expect to fall between 66 and 87? ____________ 68% of the time you would expect scores between what two values? ____________ Determine the z-score for a test score of 64. ____________...

(1) Consider a normal distribution with mean 38 and standard deviation 3. What is the probability...

(1) Consider a normal distribution with mean 38 and standard deviation 3. What is the probability a value selected at random from this distribution is greater than 38? (Round your answer to two decimal places.) (4) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.1; σ = 4.4 P(10 ≤ x ≤ 26)= (5) Assume that x has a normal distribution...

1. What is the mean and standard deviation for the number of calls between 3:10PM and...

1. What is the mean and standard deviation for the number of calls between 3:10PM and 3:15PM from the above problem? 1b. The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%. If neither affects the other, what is the probability that both Alice and Bob arrive on time? What is the probability they do not arrive on time? 1c. In a survey of middle school students, 70% play basketball and 40%...

Given a distribution that has a mean of 40 and a standard deviation of 13, calculate...

Given a distribution that has a mean of 40 and a standard deviation of 13, calculate the probability that a sample of 49 has a sample mean that is no more than 35

What is the exact probability that the sample mean will be within ½ of one sample standard deviation of the population mean? Four decimals

Bird’s data analyst wants to model the sample mean distance of scooter rides. They plan to take a random sample of 41 scooter rides and to record the distance traveled on each ride (distance before the rider “releases” the scooter and the charge is processed). They decide it is reasonable to assume that the distribution of distances is approximately normal, but they don’t know the variance of the distribution. In the sample, the mean is 0.54 mile and the standard...