Given a random sample of size of n = 4,900 from a binomial probability distribution with...

Given a random sample of size of n = 4,900 from a binomial probability distribution with P = 0.50, complete parts (a) through (e) below.

a. Find the probability that the number of successes is greater than 2,535.

P(X>2535) =

b. Find the probability that the number of successes is fewer than 2,410.

P(X<2410) =

c. Find the probability that the number of successes is between 2,440 and 2,520.

P(2440 < X < 2520) =

d. With probability .20, the number of successes is fewer than how many?

P(X < _ ) = .20

Solutions

Expert Solution

Please like if it helps me..

Thank you...

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Given a binomial distribution with a sample of size 15 trees and the probability of damage...

Given a binomial distribution with a sample of size 15 trees and the probability of damage by fungi of 0.10, find a. P(# damaged trees = 3) = b. P(# of damaged trees is less than 3) = c. P( at least 3 but no more than 6 damaged trees are found)= d. the population mean e. population variance

Let X1, X2, ..., Xn be a random sample of size from a distribution with probability...

Let X1, X2, ..., Xn be a random sample of size from a distribution with probability density function f(x) = λxλ−1 , 0 < x < 1, λ > 0 a) Get the method of moments estimator of λ. Calculate the estimate when x1 = 0.1, x2 = 0.2, x3 = 0.3. b) Get the maximum likelihood estimator of λ. Calculate the estimate when x1 = 0.1, x2 = 0.2, x3 = 0.3.

Let X be the mean of a random sample of size n from a N(μ,9) distribution....

Let X be the mean of a random sample of size n from a N(μ,9) distribution. a. Find n so that X −1< μ < X +1 is a confidence interval estimate of μ with a confidence level of at least 90%. b.Find n so that X−e < μ < X+e is a confidence interval estimate of μ withaconfidence levelofatleast (1−α)⋅100%.

A random sample of size n from a distribution by f(x) = 2x and F(x) =...

A random sample of size n from a distribution by f(x) = 2x and F(x) = x^2 ; 0 < x < 1. Let R = X(n) − X(1) be the range of the sample. Give a general form of the density function of R

Consider a random sample of size n from a distribution with function F (X) = 1-...

Consider a random sample of size n from a distribution with function F (X) = 1- x-2 if x > 1 and zero elsewhere. Determine if each of the following sequences has distribution limit; if so, give the limit distribution. a)x1:n b)xn:n c)n-1/2 xn:n

A random sample of size n = 100 is taken from a population of size N...

A random sample of size n = 100 is taken from a population of size N = 600 with a population proportion of p =0.46. Is it necessary to apply the finite population correction factor? Calculate the expected value and standard error of the sample proportion. What is the probability that the sample mean is less than .40?

A random sample of size n = 69 is taken from a population of size N...

A random sample of size n = 69 is taken from a population of size N = 971 with a population proportion p = 0.68. a-1. Is it necessary to apply the finite population correction factor? Yes or no? a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) Expected Value- Standard Error- b. What is the probability that the sample proportion is...

A random sample of size n = 71 is taken from a population of size N...

A random sample of size n = 71 is taken from a population of size N = 639 with a population proportion p = 0.73. a-1. Is it necessary to apply the finite population correction factor? a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) b. What is the probability that the sample proportion is less than 0.66? (Round “z” value to...

A random sample of size n = 152 is taken from a population of size N...

A random sample of size n = 152 is taken from a population of size N = 3,300 with mean μ = −71 and variance σ2 = 112. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...

A random sample of size n = 472 is taken from a population of size N...

A random sample of size n = 472 is taken from a population of size N = 9,700 with mean μ = −63 and variance σ2 = 176. [You may find it useful to reference the z table.] A-1 Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...

Subjects