Suppose a random variable, x, arises from a binomial experiment. If n = 22, and p...

Suppose a random variable, x, arises from a binomial experiment. If n = 22, and p = 0.85, find the following probabilities using any method of your choosing (e.g., the binomial formula; Excel, the TI 84 calculator). (a) P (x = 18) (b) P (x = 5) (c) P (x = 20) (d) P (x ≤ 3) (e) P (x ≥ 18) (f) P (x ≥ 20)

Expert Solution

orchestra answered 1 year ago

Suppose a random variable, x, arises from a binomial experiment. If n = 23, and p=...

Suppose a random variable, x, arises from a binomial experiment. If n = 23, and p= 0.22, find the following probabilities using technology. show work P (x = 21) P (x = 6) P (x = 12) P (x<=14) P (x >=17) 6. P (x <= 9)

Suppose a random variable, x, arises from a binomial experiment. Suppose n = 6, and p...

Suppose a random variable, x, arises from a binomial experiment. Suppose n = 6, and p = 0.80. Find: a.) P(x = 0) b.) P(x = 1) c.) P(x = 2) d.) P(x = 3) e.) P(x = 4) f.) P(x = 5) g.) P(x = 6) h.) the sum of probabilities calculated in parts (a) through (g) i.) the population mean ? for this probability distribution j.) the population standard deviation ? for this probability distribution Enter answers rounded...

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....

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...

Suppose that X is a binomial random variable with parameters n=20 and p=0.7. Choose a wrong...

Suppose that X is a binomial random variable with parameters n=20 and p=0.7. Choose a wrong statement about the random variable X. a. The maximum possible value of X is 20. b. The minimum possible value of X is 0. c. The variance of X is 4.2. d. The expected value of X is 14. e. Pr(X = 19)+ Pr(X = 1)= 1

Required information Suppose X is a binomial random variable with n = 25 and p=.7. Use...

Required information Suppose X is a binomial random variable with n = 25 and p=.7. Use the Binomial table to find the following: a. P(X=18) b. P(X=15) c. P(X≤20) d. P(X≥16)

The p.d.f of the binomial distribution random variable X with parameters n and p is f(x)...

The p.d.f of the binomial distribution random variable X with parameters n and p is f(x) = n x p x (1 − p) n−x x = 0, 1, 2, ..., n 0 Otherwise Show that a) Pn x=0 f(x) = 1 [10 Marks] b) the MGF of X is given by [(1 − p) + pet ] n . Hence or otherwise show that E[X]=np and var(X)=np(1-p).

Let x be a binomial random variable with n=7 and p=0.7. Find the following. P(X =...

Let x be a binomial random variable with n=7 and p=0.7. Find the following. P(X = 4) P(X < 5) P(X ≥ 4)

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.

Question