A to G 2. Suppose X is a binomial random variable with n-5 and m-0.20. Then...
A. Let X be a binomial random variable with n = 74 and p = .6. Use the normal approximation to the binomial to find: (i) P(X ≤ 50) (iii) P(40 ≤ X ≤ 50) (v) P(X = 43) (ii) P(X ≥ 40) (iv) P(42 ≤ X < 49) B. Each time a roulette wheel is spun, there are 38 possible outcomes, 18 red, 18 black, and two green. Suppose that you ALWAYS bet "black". (i) Suppose the roulette wheel...
) 6. Let x be the binomial random variable with n = 10 and p = .9 (2) a. Find P(x = 8) (5) b. Create a cumulative probability table for the distribution. (2) c. Find P( x is less than or equal to 7) (2) d. Find P(x is greater than 7) e. Find the mean, μ. (1) f. Find the standard deviation, σ. (1) g. Find the variance. ...
Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the following probabilities using the binomial formula. a.) P( x = 5) b.) P( x = 8) c.) P( x = 12) d.) P( x ≤ 4) e.) P( x ≥ 8) f.) P( x ≤12)
show calculator command for 2 please 2. Suppose a random variable, x, arises from a binomial experiment. If n = 22, and p = 0.85, find the following probabilities using the binomial formula. Show calculator command used. a. (2 pts) P(x = 18) = b. (2 pts) P(x 3) = c. (2 pts) P(x220) = 3. The proportion of red M&M's in a milk chocolate packet is approximately 21% (Madison, 2013). Suppose a package of M&M's typically contains 52 M&M's....
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that we want to generate a random variable Y whose probability mass function is the same as the conditional mass function of X given X-k, for some k-n. Let a = P(X-k), and suppose that the value of a has been computed (a) Give the inverse transform method for generating Y. (b) Give a second method for generating Y (c) For what values of a,...
Suppose the random variable X has a binomial distribution corresponding to n = 20 and p = 0.20. Use the Cumulative Binomial Probabilities table to calculate these probabilities. (Enter your answers to three decimal places.)(a) P(X = 8) (b) P(X ≥ 9)
upposes is a binomial random variable with n = 5 and , 2,3,4, and , using the foll. Compute p(x) for x 0, 1, 2, 3, 4, and 5, using a. List th S for Success and F for Failure on each trial) corresponding to each value of x, assign probabilities to each sample point, and obtain p= wing two methods e sample points (take p(x) by adding sample-point probabilities tion to obtain p(x) b. Use the formula for the...
Let X be a binomial random variable with n = 5 and p = 0.30 Use the Binomial Tables to obtain the correct probability distribution Find each probability. 1) P(X = 5) 2) P(X ?= 1)
Let x be the binomial random variable with n=10 and p = 9 a. Find P(x = 8) and create a cumulative probability table for the distribution. b. Find P( x is less than or equal to 7) and P(x is greater than 7) c. Find the mean, u, the standard deviation, o, and the variance. d. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain....
2. Let X be a binomial variable with n=10. Suppose E(X) - 3. (a) (5 points) What is the probability of success of the binomial experiment that generates the variable X? Explain your answer. (b) (5 points) Find P(X = 3). (c) (5 points) Find P(3 < X < 7). (d) (5 points) Find P(X 1 )