If x is a binomial random variable, calculate μ2,and σ for each of the following values of n and p. Complete parts a through f.
a.n=27,p= 0.4
μ=________ (Round to the nearest tenth as needed.)
Solution:-
a) μ = 10.8
n = 27, p = 0.40
If x is a binomial random variable, then mean is given as:-
μ = n*p
μ = 27*0.40
μ = 10.80
If x is a binomial random variable, calculate μ2,and σ for each of the following values...
Find the expected value, μ, and standard deviation, σ, for a binomial random variable with each of the following values of n and p. (Round all answers for σ to four decimal places.) (a) n = 50, p = 1/2. μ = σ = (b) n = 300, p = 1/4. μ = σ = (c) n = 1000, p = 1/5. μ = σ = (d) n = 1, p = 0.3. μ = σ = (e) n =...
Find the standard deviation of the random variable X. x 20 47 26 27 P(Xequals=x) 0.4 0.2 0.2 0.2 σ = (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)
If X is a normal random variable with μ =-2 and σ = 3, and has probability density function and cumulative density function fx (z), FX (z), calculate . P(-3< X < 0) F(1/4
If x is a binomial random variable, compute p(x) for each of the cases below. a. n=4, x=1, p=0.4 b. n=6, x=3, q=0.6 c. n=3, x=0, p=0.8 d. n=4, x=2, p=0.7 e. n=6, x=3, q=0.4 f. n=3, x=1, p=0.9
2. if x is a binomial fan ify is a binomial random variable, calculate P(x), H, and o for each of the following cases. a) P(x-2) for n = 10, p=.4 b) P(x >10) for n = 15, p =.6 c) P(x S 10) for n = 15, p = 9 d) PIX S5) for n = 10, p = .6
Suppose the random variable X follows a normal distribution with mean μ=53and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<43)= b) P(X>63)= c) P(48<X<68)=
A random variable, x, has a normal distribution with μ = 15.9 and σ = 2.80. Determine a value, x0, so that: a. P(x>x0) = 0.05 x0 = ______ . (Round to one decimal place as needed.) b. P(x≤x0) = 0.975 x0 = ______ . (Round to one decimal place as needed.)
A random variable, x, has a normal distribution with μ = 15.9 and σ = 2.80. Determine a value, x0, so that: a. P(x>x0) = 0.05 x0 = ______ . (Round to one decimal place as needed.) b. P(x≤x0) = 0.975 x0 = ______ . (Round to one decimal place as needed.)
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 2), n = 9, p = 0.4 Probability = (b) P(X > 3), n = 8, p = 0.35 Probability = (c) P(X < 2), n = 5, p = 0.1 Probability = (d) P(X 25), n = 9, p = 0.5 Probability =
Find the mean, μ, for the binomial distribution which has the stated values of n and p. Round the answer to the nearest tenth. 19) n = 38; p = 3/5 (SHOW WORK) FINAL ANSWER: Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. 20) n = 5,...