A random number generator returns random floats between 0 and 1, according to a uniform distribution....

A random number generator returns random floats between 0 and 1, according to a uniform distribution. say you let the random number generator draw 100 numbers, the sample mean will be...

A.impossible to determine, because the data aren't drawn from a normal distribution. B.normally distributed, with mean 0.5 and standard deviation 0.2887.

C.uniformely distributed, between 0 and 1. D.normally distributed, with mean 0.5 and standard deviation 0.02887.

Expert Solution

According to given statement a random number generates returns random floats between 0 and 1. It means that a random variable is uniformly distributed over 0 and 1. Now 100 samples have drawn of this random variable to see the distribution of sample mean.

We know in case of normal distribution sampling distribution follow normal distribution. In other words we know that according to central limit theorem if sample size increases then sampling distribution from the population which has normal distribution approximately close to normal distribution.

But in case of uniform distribution, on increasing sample size , sampling distribution does not confirm normal distribution.

in sampling distribution from uniform distribution there will be lake of uniformity . Sampling distribution maybe right skewed or left skewed in case when parent population is uniformly distributed. It means that sampling distribution does not follow normal distribution or uniform distribution. we cannot determine its distribution.

Hence option A is correct.

orchestra answered 2 years ago

continuous random variable and uniform distribution please follow the comment. A random number generator spits out...

continuous random variable and uniform distribution please follow the comment. A random number generator spits out a random real number in the range [1,4] assume each number is equally likely being out. what is the probability that the model output an irrational number? the answer is 1, but i don't understand

Collect the Data: Use a random number generator to generate 50 values between 0 and 1...

Collect the Data: Use a random number generator to generate 50 values between 0 and 1 (inclusive). Theoretical Distribution In words, X = The theoretical distribution of X is X ~ U(0, 1). In theory, based upon the distribution X ~ U(0, 1), find μ = __________ σ = __________ 1st quartile = __________ 3rd quartile = __________ median = __________ Construct a box plot of the data. Be sure to use a ruler to scale accurately and draw straight...

1. A random number generator claims to randomly choose real numbers between 0 and 3000. (a)...

1. A random number generator claims to randomly choose real numbers between 0 and 3000. (a) If this is true, what kind of distribution would the randomly chosen numbers have? (b) What would be the mean of this distribution? (c) What would be the standard deviation of this distribution? (d) Say we take a sample of 65 generated numbers and obtain a sample mean of 1552. What do we know about the sampling distribution of the sample mean and how...

A random number generator picks a number from 7 to 68 in a uniform manner. Round...

A random number generator picks a number from 7 to 68 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that the number will be exactly 42 is P(x = 42) = The probability that the number will be between 16 and 28 is P(16 < x < 28) = The probability that the number will be larger than 48 is P(x > 48) =...

A random number generator picks a number from 18 to 64 in a uniform manner. Round...

A random number generator picks a number from 18 to 64 in a uniform manner. Round answers to 4 decimal places when possible. The mean of the distribution is: The standard deviation is: The probability that the number will be exactly 20 is P(x = 20) = The probability that the number will be between 24 and 26 is P(24 < x < 26) = The probability that the number will be larger than 32 is P(x > 32) =...

Let X be a continuous random variable that has a uniform distribution between 0 and 2...

Let X be a continuous random variable that has a uniform distribution between 0 and 2 and let the cumulative distribution function F(x) = 0.5x if x is between 0 and 2 and let F(x) = 0 if x is not between 0 and 2. Compute 1. the probability that X is between 1.4 and 1.8 2. the probability that X is less than 1.2 3. the probability that X is more than 0.8 4. the expected value of X...

Suppose you have access to a random number generator Rng() that generates uniform random numbers in...

Suppose you have access to a random number generator Rng() that generates uniform random numbers in {0, 1, . . . , n − 1}. Design a function uses Rng() generate a uniform random number in {0, 1, . . . , m − 1}, where m ≤ n

The mean of the uniform distribution between 0 and 1 is μ = 0.5. Estimate this...

The mean of the uniform distribution between 0 and 1 is μ = 0.5. Estimate this value with a 95% confidence interval using samples of 100, 200, 400, 800, 1600, 3200, and 6400. Plot the confidence intervals using the computer and show graphically that the estimates converge to 0.5. Can you show steps in excel or what should I put in column?

A random number generator produces a sequence of 18 digits (0, 1, ..., 9). What is...

A random number generator produces a sequence of 18 digits (0, 1, ..., 9). What is the probability that the sequence contains at least one 3? (Hint: Consider the probability that it contains no 3's. Round your answer to four decimal places.)

Let ?1 and ?2 be two independent random variables with uniform distribution on [0, 1]. 1....

Let ?1 and ?2 be two independent random variables with uniform distribution on [0, 1]. 1. Write down the joint cumulative distribution function and joint probability density function of ?1 + ?2 and ?1?2

Question