Question

In: Statistics and Probability

14) You have a binomial random variable, B , with n = 120 and p =...

14) You have a binomial random variable, B , with n = 120 and p = .44. Estimate P( 50 < B < 57 ).

15) Tigers have weights that are N(500, 20 ). ( pounds ) You win 2 tigers. Find the probability that your tigers have an average weight that is more that 510 pounds .

Expert Solution

The following information about the Binomial distribution is provided:

The population proportion of success is p = 0.44 and the sample size is n= 120 . We need to compute

The population mean is computed as:

and the population standard deviation is computed as:

Therefore, we get that

The following information about the mean and standard deviation has been provided:

We need to compute. The corresponding z-value needed to be computed is:

Therefore, we get that

orchestra answered 3 years ago

A binomial random variable with parameters n and p represents the number of successes in n...

A binomial random variable with parameters n and p represents the number of successes in n independent trials. We can obtain a binomial random variable by generating n uniform random numbers 1 2 n U ,U ,...,U and letting X be the number of i U that are less than or equal to p. (a) Write a MATLAB function to implement this algorithm and name the function gsbinrnd. You may use the for loop to generate random numbers. (b) Use...

Suppose that x is a binomial random variable with n = 5, p = .66, and...

Suppose that x is a binomial random variable with n = 5, p = .66, and q = .34. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) p(0) = p(1)= p(2)= p(3)= p(4)= p(5) (c) Find P(x = 3). (Round final answer to 4 decimal places.) (d) Find P(x ≤ 3). (Do not round intermediate calculations. Round final answer to 4 decimal places.) (e) Find P(x < 3). (Do not round intermediate calculations....

Assume that x is a binomial random variable with n = 100 and p = 0.40....

Assume that x is a binomial random variable with n = 100 and p = 0.40. Use a normal approximation (BINOMIAL APPROACH) to find the following: **please show all work** c. P(x ≥ 38) d. P(x = 45) e. P(x > 45) f. P(x < 45)

Let N be a binomial random variable with n = 2 trials and success probability p...

Let N be a binomial random variable with n = 2 trials and success probability p = 0.5. Let X and Y be uniform random variables on [0, 1] and that X, Y, N are mutually independent. Find the probability density function for Z = NXY . Hint: Find P(Z ≤ z) for z ∈ [0, 1] by conditioning on the value of N ∈ {0, 1, 2}.

X is a binomial random variable. n= 100 p= .4 Use the binomial approach and normal...

X is a binomial random variable. n= 100 p= .4 Use the binomial approach and normal approximation to calculate the follwowing: 1. P(x>=38) 2. P(x=45) 3. P(X>45) 4. P(x <45)

A random variable Y whose distribution is binomial with parameters are n = 500 and p=...

A random variable Y whose distribution is binomial with parameters are n = 500 and p= 0.400, and here Y suggests the number of desired outcomes of the random experiment and n-Y is the number of undesired outcomes obtained from a random experiment of n independent trials. On this random experiment p̂ sample proportion is found as Y/n. (Round your answers to 3 decimal places in all parts.) a)What is the expected value of this statistic? b)Between what limits will...

X1 is a binomial random variable with n = 100 and p = 0.8, while X2...

X1 is a binomial random variable with n = 100 and p = 0.8, while X2 is a binomial random variable with n = 100 and p = 0.2. The variables are independent. The profit measure is given by P = X1 / X2. Run N = 10 simulations of X1 and X2 to simulate the distribution of P, and then find both the variance and the semi-variance.

Suppose x is a binomial random variable with p = .4 and n = 25. c....

Suppose x is a binomial random variable with p = .4 and n = 25. c. Use the binomial probabilities table or statistical software to find the exact value of P(x>=9). Answ:.726 back of book d. Use the normal approximation to find P(x>=9). answ:.7291 the back of book For one I have no idea how to use the binomial probabilities table . The mean is 10, variance is 6 and std is 2.45 If possible could someone explain how to...

Let X be a binomial random variable with parameters n = 5 and p = 0.6....

Let X be a binomial random variable with parameters n = 5 and p = 0.6. a) What is P(X ≥ 1)? b) What is the mean of X? c) What is the standard deviation of X? (Show work)

(a) Let X be a binomial random variable with parameters (n, p). Let Y be a...

(a) Let X be a binomial random variable with parameters (n, p). Let Y be a binomial random variable with parameters (m, p). What is the pdf of the random variable Z=X+Y? (b) Let X and Y be indpenednet random variables. Let Z=X+Y. What is the moment generating function for Z in terms of those for X and Y? Confirm your answer to the previous problem (a) via moment generating functions.